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Indeterminate limit of the form 1/0

  1. May 26, 2013 #1
    When finding lim(x->1) (1+2ln(x))^(1/(x-1)) = 1^(infinity) I let
    y = (1+2ln(x))^(1/(x-1)) then ln both sides giving
    ln(y) = ln(1+2ln(x)))/(x-1)
    Taking the limit of ln(y) gives 1/0, which is indeterminate and hence the limit does not exist.
    However, I typed this into MS Mathematics and got the limit as e^2.
    Help please.
  2. jcsd
  3. May 26, 2013 #2
    I made an arithmetic error. Nevermind.
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