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Anikate

  • one year ago

help with limits please.... medals

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  1. Anikate
    • one year ago
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    cool. imma post a pic real quick

  2. Anikate
    • one year ago
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  3. Anikate
    • one year ago
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    g and l

  4. jtvatsim
    • one year ago
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    g should be similar to the very first question. I'm going to predict that this is some sort of infinity.

  5. jtvatsim
    • one year ago
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    It's hard for me to see i) so I'll hold my predictions.... :)

  6. Anikate
    • one year ago
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    I got undefined after plugging in thr x value

  7. jtvatsim
    • one year ago
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    OK, so if that's good enough for your teacher, then you are done. Otherwise you can try an x a little to the left and/or right as needed.

  8. jtvatsim
    • one year ago
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    Or graph it! :)

  9. Anikate
    • one year ago
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    |dw:1433996948686:dw|

  10. Anikate
    • one year ago
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    thats the question

  11. jtvatsim
    • one year ago
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    So there is a little - sign below the limit?

  12. Anikate
    • one year ago
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    yea

  13. jtvatsim
    • one year ago
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    So you could try an x slightly to the left of 4 if you like.

  14. Anikate
    • one year ago
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    ok 3.9?

  15. jtvatsim
    • one year ago
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    Sure that should do it. A graph will also reveal which infinity this is.

  16. Anikate
    • one year ago
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    I got -20 after plugging in 3.9

  17. Anikate
    • one year ago
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    I want t

  18. Anikate
    • one year ago
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    try

  19. Anikate
    • one year ago
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    i want to try and do these without graphing, cuz were not supposed ot

  20. Anikate
    • one year ago
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    to*

  21. jtvatsim
    • one year ago
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    Well, in that case... :)

  22. jtvatsim
    • one year ago
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    Best answer at this point then since you got a negative, would be to say this is negative infinity.

  23. Anikate
    • one year ago
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    got it

  24. Anikate
    • one year ago
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    and can you show me how to do l

  25. Anikate
    • one year ago
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    its the second to last one

  26. jtvatsim
    • one year ago
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    |dw:1433997229274:dw|

  27. jtvatsim
    • one year ago
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    Sure thing, let's see it!

  28. jtvatsim
    • one year ago
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    I can make out everything except the x information under the limit.

  29. Anikate
    • one year ago
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    |dw:1433997257410:dw|

  30. Anikate
    • one year ago
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    thats the questions

  31. jtvatsim
    • one year ago
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    cool

  32. Anikate
    • one year ago
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    yup

  33. jtvatsim
    • one year ago
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    Alright, so we obviously will get a 0 on the bottom, but let's look at the top, what is cos(0)?

  34. Anikate
    • one year ago
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    why 0 on the bottom?

  35. Anikate
    • one year ago
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    i thoght x turn to 1 in hospitals

  36. jtvatsim
    • one year ago
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    Only if you get 0/0 as the limit when you first plug in. It's a key restriction.

  37. jtvatsim
    • one year ago
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    L'Hospital only works when the limit is 0/0 exactly.

  38. jtvatsim
    • one year ago
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    In this case, we actually get 1/0. Since cos(0) = 1.

  39. Anikate
    • one year ago
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    oh ok

  40. jtvatsim
    • one year ago
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    Tricky fish!

  41. Anikate
    • one year ago
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    right lol

  42. Anikate
    • one year ago
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    so what do we do from here?

  43. jtvatsim
    • one year ago
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    So this is yet another infinity it seems. :)

  44. Anikate
    • one year ago
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    isnt 1/0 undefined?

  45. jtvatsim
    • one year ago
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    That's true. But just like we were doing before, when you get undefined, it might be positive or negative infinity.

  46. Anikate
    • one year ago
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    oh ok, and how would u find?

  47. jtvatsim
    • one year ago
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    Plug in x a little to the left. AND also an x a little to the right. We have to do both in this case because there isn't a left or right hand limit.

  48. Anikate
    • one year ago
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    ok

  49. jtvatsim
    • one year ago
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    It's a two sided limit (no + or - subscript thing).

  50. jtvatsim
    • one year ago
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    Nevermind, that would be ridiculous.

  51. Anikate
    • one year ago
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    wait, but the x is = 0

  52. Anikate
    • one year ago
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    lollolol

  53. jtvatsim
    • one year ago
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    yes, yes, I'm falling asleep here. :)

  54. Anikate
    • one year ago
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    lol its 1am here, same

  55. jtvatsim
    • one year ago
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    Anyways, maybe I should let you make the suggestions... zzzz

  56. Anikate
    • one year ago
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    -1 and 1?

  57. jtvatsim
    • one year ago
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    OK, you might want to get a little tighter than that, I'd say -0.1 and 0.1 just to be safe.

  58. Anikate
    • one year ago
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    ok

  59. jtvatsim
    • one year ago
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    You don't want the equation to think you are testing for x = 1 and x = -1... it has feelings too. :)

  60. Anikate
    • one year ago
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    i got -9.9 and 9.9

  61. Anikate
    • one year ago
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    lol

  62. jtvatsim
    • one year ago
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    Well, isn't that interesting? From the left, it looks like negative infinity. But from the right it looks like positive infinity.

  63. jtvatsim
    • one year ago
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    The left-hand limit does not equal the right-hand limit, this limit Does Not Exist!

  64. Anikate
    • one year ago
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    ya, this cray cray

  65. Anikate
    • one year ago
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    oh cool

  66. Anikate
    • one year ago
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    got it thanks!

  67. jtvatsim
    • one year ago
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    What's weird is that it isn't even Undefinied. It literally does not even exist! :)

  68. jtvatsim
    • one year ago
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    Awesome. Glad to help! Good luck with your studies! :)

  69. Anikate
    • one year ago
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    oh whats the difference?

  70. jtvatsim
    • one year ago
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    Undefined usually means it's some sort of infinity. It's just not a "normal" number.

  71. Anikate
    • one year ago
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    ooooh ok

  72. jtvatsim
    • one year ago
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    In this case, the right hand limit flies up to positive infinity, while the left hand limit flies down to negative infinity, leaving a huge break in the gap going in opposite directions.

  73. jtvatsim
    • one year ago
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    So, the (two-sided) limit does not exist.

  74. Anikate
    • one year ago
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    oh sounds good! thanks for all ur help! get

  75. Anikate
    • one year ago
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    time to get some sleep haha! good night!

  76. jtvatsim
    • one year ago
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    Your welcome! Ah... yes... sleep.... zzzz -.-

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