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anonymous

  • 5 years ago

calculus II - is the sequence of an converges, then the limit as k--> infinity =0. Corollary : if the limit of ak as k--> infinity is not equal to 0, then the summation of ak diverges. This corollary is confusing because what if the limit of ak is equal to 0 wouldn't it by then converge? I got confused

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  1. anonymous
    • 5 years ago
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    if the sequence*

  2. anonymous
    • 5 years ago
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    the point is k approaches infinity, it never actually gets there so your value never actually gets to 0

  3. anonymous
    • 5 years ago
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    yes, I know it'll diverege if it tends to infinity, but the prof said that if the limit of ak =0 then that doesn't mean that it converges. Isn't it confusing? because the first rule states that if the sequence converges , that means that the limit = 0. lost lol

  4. anonymous
    • 5 years ago
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    he said the contrapositive of the corollary is false, why?

  5. anonymous
    • 5 years ago
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    that the*

  6. anonymous
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    well maybe he is saying that if the limit =0 then the corollary is false because the corollary is basically saying that 0 is an outlier (the dotted line, cant remmebr the correct name) and if it actually gets there then that isnt an outlier, rendering the first statement false?

  7. anonymous
    • 5 years ago
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    lol, what are you trying to say?

  8. anonymous
    • 5 years ago
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    im saying if the first thing claims that you cant be at 0 and the second thing says that you are at 0 then the first thing is lieing

  9. anonymous
    • 5 years ago
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    but the first thing says that it is at 0

  10. anonymous
    • 5 years ago
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    an the first rule is correct

  11. anonymous
    • 5 years ago
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    and*

  12. anonymous
    • 5 years ago
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    no, the first part says you get really close to 0, you never actually get there

  13. anonymous
    • 5 years ago
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    yes I know, it'll "approach" zero, still this says that it'll converge

  14. anonymous
    • 5 years ago
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    yeah, at infinity... which you cant get to, meaning you cant get to 0. and if your at 0 then your limit reached infinity. thats pretty intense if you reach an unreachable number

  15. anonymous
    • 5 years ago
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    which part are you talking abt lol, the first rule? or the corollary?

  16. anonymous
    • 5 years ago
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    you're running in circles >_<

  17. anonymous
    • 5 years ago
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    exactly, the circles is on purpose. the second statement renders the first one false.

  18. anonymous
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    convergence means that the sequence will end with a finite number while divergence means that the sequence will reach infinity or will have an alternating endless value.

  19. anonymous
    • 5 years ago
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    be direct , please

  20. anonymous
    • 5 years ago
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    I've been in enough circles already x_x with my prof

  21. anonymous
    • 5 years ago
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    how does this corollary work? if it's not equal to 0, then I agree, it diverges, but what if it actually is = 0?

  22. anonymous
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    wouldn't that mean that it'll converge?

  23. anonymous
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    I was told that it's false, it won't converge , we'll actually don't know what it will do, but WHY?! LOL

  24. anonymous
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    what difference does it make?

  25. anonymous
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    i guess im confused by the original statement. but if you have a number lim approaching infinity = anything. it never reaches that "anything" so i'd say it does NOT converge

  26. anonymous
    • 5 years ago
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    see what I mean? I am too, that's why I have asked LOL

  27. anonymous
    • 5 years ago
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    confused too, starlet

  28. anonymous
    • 5 years ago
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    by the way, how are you?

  29. anonymous
    • 5 years ago
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    great thx :), yes I am confused :(

  30. anonymous
    • 5 years ago
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    wait a sec, angoo!

  31. anonymous
    • 5 years ago
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    :) who else would it be if not me :)

  32. anonymous
    • 5 years ago
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    have you seen the new groups?

  33. anonymous
    • 5 years ago
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    happy birthday ^_^! no one else calls me starlet but you

  34. anonymous
    • 5 years ago
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    yep :)

  35. anonymous
    • 5 years ago
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    :) nice, well, it is good that OpenStudy is improving... anyway, got my exams to university on the 12th, thats like i have 3 days to study :)

  36. anonymous
    • 5 years ago
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    no 2 days to review and one day to relax

  37. anonymous
    • 5 years ago
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    oh, and have you heard of a website called khan academy

  38. anonymous
    • 5 years ago
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    nope

  39. anonymous
    • 5 years ago
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    khan academy is boss. fact.

  40. anonymous
    • 5 years ago
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    so mimi, whats up? oh, and you can see the intro vid at http://www.khanacademy.org/

  41. anonymous
    • 5 years ago
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    dunno, never heard about it, but will do , later on when I'm done with my midterms

  42. anonymous
    • 5 years ago
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    lol, nothing but midterms are up starting on Sunday, I haven't been here for 2 days now, you?

  43. anonymous
    • 5 years ago
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    I was surprised by the number of videos and topics ONE guy made it is just crazy http://www.khanacademy.org/#browse have a quick look at the list

  44. anonymous
    • 5 years ago
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    I did + faved it to go through it later

  45. anonymous
    • 5 years ago
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    ok, anyway, have any plans for today?

  46. anonymous
    • 5 years ago
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    yeah, one of them is to wish you a great HAPPY BIRTHDAY

  47. anonymous
    • 5 years ago
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    ok, thanks =D you are the first person that did it =D

  48. anonymous
    • 5 years ago
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    I know =P np :) and the other plans is to get ready and look like a princess for my sister's engagement part tonight ^^"

  49. anonymous
    • 5 years ago
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    which is the thing that I'm not looking forward to ._.

  50. anonymous
    • 5 years ago
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    yey! nice, engagement..... so are you going to post some pics of yourself as a princess online?

  51. anonymous
    • 5 years ago
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    no >_>

  52. anonymous
    • 5 years ago
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    LOL, I knew it

  53. anonymous
    • 5 years ago
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    I don't like strangers touching my hair or anything else!

  54. anonymous
    • 5 years ago
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    so how is Dubai?

  55. anonymous
    • 5 years ago
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    been windy from time to time, but good

  56. anonymous
    • 5 years ago
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    how's finland?

  57. anonymous
    • 5 years ago
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    LOL the snow is starting to melt

  58. anonymous
    • 5 years ago
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    aww :(

  59. anonymous
    • 5 years ago
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    which I am really happy about

  60. anonymous
    • 5 years ago
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    I need summer

  61. anonymous
    • 5 years ago
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    I love summer, but would love to play with the snow lol

  62. anonymous
    • 5 years ago
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    well, some time once you finish your studies you will go to a winter country.. am I right?

  63. anonymous
    • 5 years ago
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    maybe, I do love the country though :)

  64. anonymous
    • 5 years ago
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    I mean, not to live but to visit :)

  65. anonymous
    • 5 years ago
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    far away from the people where peace and quite can be attained :) , that's one of my dreams. Is to live in simple small house, with a beautiful garden, waking up in the morning for walks and etc.

  66. anonymous
    • 5 years ago
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    oh, yeah lol I guess

  67. anonymous
    • 5 years ago
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    well, in that case it might be easyer to live in a warm country.... anyway it is nice to travel

  68. anonymous
    • 5 years ago
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    yes it is ~

  69. anonymous
    • 5 years ago
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    Enough about me, what about your plans?

  70. anonymous
    • 5 years ago
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    my plans are to practice derivation, differential equations, some pre calculus stuff, maype some physics.... well basically anything that might help me in exams :)

  71. anonymous
    • 5 years ago
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    only for 2 days, and the last day is to do something fun, right?

  72. anonymous
    • 5 years ago
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    no... last day I will stdy like mad.. read calculus, STEP III, and stuff like that, I need to fill my brain with info

  73. anonymous
    • 5 years ago
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    no no and no

  74. anonymous
    • 5 years ago
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    do you want to mess up?

  75. anonymous
    • 5 years ago
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    I dont want to mess up, I wanna pass...

  76. anonymous
    • 5 years ago
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    then have fun the last day!

  77. anonymous
    • 5 years ago
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    why? how will that help me pass? I just don see it.

  78. anonymous
    • 5 years ago
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    relax :)

  79. anonymous
    • 5 years ago
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    it's like you are releasing all the stress and pressure out just before the test. This will help you to get a good shut eye and great energy in the morning

  80. anonymous
    • 5 years ago
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    ok, I will only study half day... and the rest I will spend relaxing

  81. anonymous
    • 5 years ago
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    no

  82. anonymous
    • 5 years ago
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    you'll only be getting yourself nervous.

  83. anonymous
    • 5 years ago
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    I am already nervous, alot :(

  84. anonymous
    • 5 years ago
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    on this my depends my future

  85. anonymous
    • 5 years ago
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    see

  86. anonymous
    • 5 years ago
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    listen, did you study?

  87. anonymous
    • 5 years ago
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    what do you mean?

  88. anonymous
    • 5 years ago
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    did you study? Yes/No?

  89. anonymous
    • 5 years ago
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    today?

  90. anonymous
    • 5 years ago
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    I just woke up

  91. anonymous
    • 5 years ago
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    no, in general

  92. anonymous
    • 5 years ago
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    yeah, I studied, but there are still somethings I need to revise. But I am just afraid I can do worse than other 40 guys. Because there are alot of applicants, like 300 and out of those 300, 40 best will be taken.

  93. anonymous
    • 5 years ago
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    Do you really believe that you won't be one of these 40 guys?

  94. anonymous
    • 5 years ago
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    well, I dont know, it is imposible to know the future, those 300 applicants might be studing really hard, and might be better prepared. Of course, anything can happen. I just hope I get in, because if I don't, I will have to quickly figure out what to do :)

  95. anonymous
    • 5 years ago
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    do you want to pass?

  96. anonymous
    • 5 years ago
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    yeah, heaven yeah

  97. anonymous
    • 5 years ago
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    then you are going to be one of those 40 guys. :) Put that in mind. A person that knows what he/she wants, and is clear about it, will reach what he/she wants :) and you will

  98. anonymous
    • 5 years ago
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    all you've got to do, is have a good night sleep, wake up fresh in the morning, heavy breakfast and ace that exam!

  99. anonymous
    • 5 years ago
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    Just do your best ^_^ that's all. Don't over-work yourself.

  100. anonymous
    • 5 years ago
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    no more buts, just more yeses ,cans and dos

  101. anonymous
    • 5 years ago
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    ok, I was thinking in a simmilar way, just that I got this idea, WHAT IF all of those 300 guys KNOWs what they want and are clear about it? it is more about knowledge+intelligence than the desire to pass.... I think...

  102. anonymous
    • 5 years ago
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    don't catch the what if disease, you know what you want, and that's that, we don't care about what others want atm

  103. anonymous
    • 5 years ago
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    the more powerful you see your way , the better the chance that you'll pass. Trust in your abilities :)

  104. anonymous
    • 5 years ago
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    and what about you? aren't you an intelligent person too?

  105. anonymous
    • 5 years ago
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    why do we want to think of other people's intelligence and deny ours? did you really forget what you are capable of doing?

  106. anonymous
    • 5 years ago
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    we all have abilities, we all can achieve, but we all achieve differently :)

  107. anonymous
    • 5 years ago
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    :) thanks for motivation

  108. anonymous
    • 5 years ago
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    my words have no meaning if you are not clear their meaning andy

  109. anonymous
    • 5 years ago
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    of their*

  110. anonymous
    • 5 years ago
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    I know exactly what you mean, you are basically talking about the power of positive thinking. Am I wrong?

  111. anonymous
    • 5 years ago
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    I wish you the best of luck :), if you see yourself getting into the (but, what if, I can't etc etc) disease, stop yourself and say the opposite :)

  112. anonymous
    • 5 years ago
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    ok, I WILL GET IN

  113. anonymous
    • 5 years ago
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    YES YOU WILL!

  114. anonymous
    • 5 years ago
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    and I know you will :)

  115. anonymous
    • 5 years ago
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    end of story !

  116. anonymous
    • 5 years ago
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    :)

  117. anonymous
    • 5 years ago
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    :)

  118. anonymous
    • 5 years ago
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    and what would I do without you :)

  119. anonymous
    • 5 years ago
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    lol, again, exaggerating :)

  120. anonymous
    • 5 years ago
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    I just open my big mouth from time to time.

  121. anonymous
    • 5 years ago
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    and the stuff that you say with your big mouth is good, anyway, I dont want to keep you long here, as you gotta get "princessed-up"

  122. anonymous
    • 5 years ago
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    not yet , don't remind me!

  123. anonymous
    • 5 years ago
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    I'm off to do some sequence solving >_>

  124. anonymous
    • 5 years ago
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    ok, good luck with sequencing, and good luck with the endgagement. I hope it will make you happy. :)

  125. anonymous
    • 5 years ago
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    being in the spotlight? no , no no, anyways I hope my sis enjoys it +thanks you too ^_^

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