anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
if the sequence*
anonymous
  • anonymous
the point is k approaches infinity, it never actually gets there so your value never actually gets to 0
anonymous
  • anonymous
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

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anonymous
  • anonymous
he said the contrapositive of the corollary is false, why?
anonymous
  • anonymous
that the*
anonymous
  • anonymous
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?
anonymous
  • anonymous
lol, what are you trying to say?
anonymous
  • anonymous
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
anonymous
  • anonymous
but the first thing says that it is at 0
anonymous
  • anonymous
an the first rule is correct
anonymous
  • anonymous
and*
anonymous
  • anonymous
no, the first part says you get really close to 0, you never actually get there
anonymous
  • anonymous
yes I know, it'll "approach" zero, still this says that it'll converge
anonymous
  • anonymous
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
anonymous
  • anonymous
which part are you talking abt lol, the first rule? or the corollary?
anonymous
  • anonymous
you're running in circles >_<
anonymous
  • anonymous
exactly, the circles is on purpose. the second statement renders the first one false.
anonymous
  • anonymous
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.
anonymous
  • anonymous
be direct , please
anonymous
  • anonymous
I've been in enough circles already x_x with my prof
anonymous
  • anonymous
how does this corollary work? if it's not equal to 0, then I agree, it diverges, but what if it actually is = 0?
anonymous
  • anonymous
wouldn't that mean that it'll converge?
anonymous
  • anonymous
I was told that it's false, it won't converge , we'll actually don't know what it will do, but WHY?! LOL
anonymous
  • anonymous
what difference does it make?
anonymous
  • anonymous
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
anonymous
  • anonymous
see what I mean? I am too, that's why I have asked LOL
anonymous
  • anonymous
confused too, starlet
anonymous
  • anonymous
by the way, how are you?
anonymous
  • anonymous
great thx :), yes I am confused :(
anonymous
  • anonymous
wait a sec, angoo!
anonymous
  • anonymous
:) who else would it be if not me :)
anonymous
  • anonymous
have you seen the new groups?
anonymous
  • anonymous
happy birthday ^_^! no one else calls me starlet but you
anonymous
  • anonymous
yep :)
anonymous
  • anonymous
:) 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 :)
anonymous
  • anonymous
no 2 days to review and one day to relax
anonymous
  • anonymous
oh, and have you heard of a website called khan academy
anonymous
  • anonymous
nope
anonymous
  • anonymous
khan academy is boss. fact.
anonymous
  • anonymous
so mimi, whats up? oh, and you can see the intro vid at http://www.khanacademy.org/
anonymous
  • anonymous
dunno, never heard about it, but will do , later on when I'm done with my midterms
anonymous
  • anonymous
lol, nothing but midterms are up starting on Sunday, I haven't been here for 2 days now, you?
anonymous
  • anonymous
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
anonymous
  • anonymous
I did + faved it to go through it later
anonymous
  • anonymous
ok, anyway, have any plans for today?
anonymous
  • anonymous
yeah, one of them is to wish you a great HAPPY BIRTHDAY
anonymous
  • anonymous
ok, thanks =D you are the first person that did it =D
anonymous
  • anonymous
I know =P np :) and the other plans is to get ready and look like a princess for my sister's engagement part tonight ^^"
anonymous
  • anonymous
which is the thing that I'm not looking forward to ._.
anonymous
  • anonymous
yey! nice, engagement..... so are you going to post some pics of yourself as a princess online?
anonymous
  • anonymous
no >_>
anonymous
  • anonymous
LOL, I knew it
anonymous
  • anonymous
I don't like strangers touching my hair or anything else!
anonymous
  • anonymous
so how is Dubai?
anonymous
  • anonymous
been windy from time to time, but good
anonymous
  • anonymous
how's finland?
anonymous
  • anonymous
LOL the snow is starting to melt
anonymous
  • anonymous
aww :(
anonymous
  • anonymous
which I am really happy about
anonymous
  • anonymous
I need summer
anonymous
  • anonymous
I love summer, but would love to play with the snow lol
anonymous
  • anonymous
well, some time once you finish your studies you will go to a winter country.. am I right?
anonymous
  • anonymous
maybe, I do love the country though :)
anonymous
  • anonymous
I mean, not to live but to visit :)
anonymous
  • anonymous
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.
anonymous
  • anonymous
oh, yeah lol I guess
anonymous
  • anonymous
well, in that case it might be easyer to live in a warm country.... anyway it is nice to travel
anonymous
  • anonymous
yes it is ~
anonymous
  • anonymous
Enough about me, what about your plans?
anonymous
  • anonymous
my plans are to practice derivation, differential equations, some pre calculus stuff, maype some physics.... well basically anything that might help me in exams :)
anonymous
  • anonymous
only for 2 days, and the last day is to do something fun, right?
anonymous
  • anonymous
no... last day I will stdy like mad.. read calculus, STEP III, and stuff like that, I need to fill my brain with info
anonymous
  • anonymous
no no and no
anonymous
  • anonymous
do you want to mess up?
anonymous
  • anonymous
I dont want to mess up, I wanna pass...
anonymous
  • anonymous
then have fun the last day!
anonymous
  • anonymous
why? how will that help me pass? I just don see it.
anonymous
  • anonymous
relax :)
anonymous
  • anonymous
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
anonymous
  • anonymous
ok, I will only study half day... and the rest I will spend relaxing
anonymous
  • anonymous
no
anonymous
  • anonymous
you'll only be getting yourself nervous.
anonymous
  • anonymous
I am already nervous, alot :(
anonymous
  • anonymous
on this my depends my future
anonymous
  • anonymous
see
anonymous
  • anonymous
listen, did you study?
anonymous
  • anonymous
what do you mean?
anonymous
  • anonymous
did you study? Yes/No?
anonymous
  • anonymous
today?
anonymous
  • anonymous
I just woke up
anonymous
  • anonymous
no, in general
anonymous
  • anonymous
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.
anonymous
  • anonymous
Do you really believe that you won't be one of these 40 guys?
anonymous
  • anonymous
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 :)
anonymous
  • anonymous
do you want to pass?
anonymous
  • anonymous
yeah, heaven yeah
anonymous
  • anonymous
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
anonymous
  • anonymous
all you've got to do, is have a good night sleep, wake up fresh in the morning, heavy breakfast and ace that exam!
anonymous
  • anonymous
Just do your best ^_^ that's all. Don't over-work yourself.
anonymous
  • anonymous
no more buts, just more yeses ,cans and dos
anonymous
  • anonymous
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...
anonymous
  • anonymous
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
anonymous
  • anonymous
the more powerful you see your way , the better the chance that you'll pass. Trust in your abilities :)
anonymous
  • anonymous
and what about you? aren't you an intelligent person too?
anonymous
  • anonymous
why do we want to think of other people's intelligence and deny ours? did you really forget what you are capable of doing?
anonymous
  • anonymous
we all have abilities, we all can achieve, but we all achieve differently :)
anonymous
  • anonymous
:) thanks for motivation
anonymous
  • anonymous
my words have no meaning if you are not clear their meaning andy
anonymous
  • anonymous
of their*
anonymous
  • anonymous
I know exactly what you mean, you are basically talking about the power of positive thinking. Am I wrong?
anonymous
  • anonymous
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 :)
anonymous
  • anonymous
ok, I WILL GET IN
anonymous
  • anonymous
YES YOU WILL!
anonymous
  • anonymous
and I know you will :)
anonymous
  • anonymous
end of story !
anonymous
  • anonymous
:)
anonymous
  • anonymous
:)
anonymous
  • anonymous
and what would I do without you :)
anonymous
  • anonymous
lol, again, exaggerating :)
anonymous
  • anonymous
I just open my big mouth from time to time.
anonymous
  • anonymous
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"
anonymous
  • anonymous
not yet , don't remind me!
anonymous
  • anonymous
I'm off to do some sequence solving >_>
anonymous
  • anonymous
ok, good luck with sequencing, and good luck with the endgagement. I hope it will make you happy. :)
anonymous
  • anonymous
being in the spotlight? no , no no, anyways I hope my sis enjoys it +thanks you too ^_^

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