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This is a limits question.

  1. May 22, 2016 #1
    1. The problem statement, all variables and given/known data
    Find the following limit.


    2. Relevant equations
    Capture3.JPG


    3. The attempt at a solution

    I cannot apply L' Hopital rule because it does not apply to this question. Hence I have no idea how to approach to this question. Please give me some guidelines.
     
  2. jcsd
  3. May 22, 2016 #2

    Math_QED

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    What is lim(x->0) lnx? What is lim(x->0) 1/x^n?
     
  4. May 22, 2016 #3
    I already know the answer to this and it is zero but I do not know how it comes.
    For your question, lim (x->0) lnx is infinity and lim(x->0) 1/x^n is again infinity.
    But I do not find any help from these two.
     
  5. May 22, 2016 #4

    Math_QED

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    The answer is not zero.
    And more specifically, what kind of infinity are the limits above I asked for? I also forgot to mention the following very important thing: lim(x->0) lnx is NOT defined. The right handed limit is defined though.
     
  6. May 22, 2016 #5
    I think The question has some printing mistake or so. However thanks for your kind concern.
     
  7. May 22, 2016 #6

    Math_QED

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    The answer is that the limit does not exist since lnx is undefined for negative numbers. The right handed limit can be obtained by splitting the limit in 2 seperate limits by using lim x>a fg = (lim x>a f )*( lim x>a g).
     
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