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Limit X->0

  1. May 14, 2010 #1
    Limit X--->0

    1. The problem statement, all variables and given/known data

    Limit X--->0 x2/x

    2. Relevant equations

    L'hospitals rule. y=eln(y)

    3. The attempt at a solution

    I tried using the theory that works for limit x---> 0 xx = 1. But I end up getting limit x---> 0 e2/x = infinity. How should I set up l'hospitals law?
     
  2. jcsd
  3. May 14, 2010 #2

    Dick

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    Re: Limit X--->0

    You don't need (and can't use) l'Hopital if the limit isn't indeterminant. If you look at ln(x^(2/x)) how does it behave?
     
  4. May 14, 2010 #3
    Re: Limit X--->0

    As x approaches 0+, ln(x) approaches negative infinity while 2/x approaches 0. I'm confused.
     
  5. May 14, 2010 #4

    Dick

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    Re: Limit X--->0

    I would say as x->0+ 2/x approaches +infinity. (-infinity)*(+infinity) doesn't look indeterminant to me.
     
  6. May 14, 2010 #5
    Re: Limit X--->0

    Ah thanks I always mix up lim x to infinity and x to 0. So u get e^(-infinity) = 0
     
  7. May 14, 2010 #6

    Dick

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    Re: Limit X--->0

    Right!
     
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