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Finding a limit with the natural log function

  1. May 5, 2008 #1
    i need help with this:

    lim x->[tex]\infty[/tex] of [tex]\frac{ln(2+h) - ln(2)}{h}[/tex]

    i have no idea where to even begin!!
    i tried resolving it, but it didn't help :[

    any suggestions??
  2. jcsd
  3. May 5, 2008 #2


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    That looks funny for several reasons. You've got x->infinity and there are no x's in the limit expression. If you mean h->infinity, then it still looks funny because the limit expression is a difference quotient where you usually take h->0. But if you really mean h->infinity then you can use l'Hopital's rule.
  4. May 5, 2008 #3


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    ln(a/b)= ??
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