Question: Show that the sequence is convergent by computing its limit when n -> ∞ a(n) = (e^-n)/[1-n^(1/n)] Related Equations: lim [n -> ∞] a(n) = L My Attempt: I tried using l'hopitals rule however it does not work. Any suggestions???
Last edited by olyviab1; Mar 25th 2010 at 10:25 PM.
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Originally Posted by olyviab1 Question: Show that the sequence is convergent by computing its limit when n -> ∞ a(n) = (e^-n)/[1-n^(1/n)] Related Equations: lim [n -> ∞] a(n) = L My Attempt: I tried using l'hopitals rule however it does not work. Any suggestions??? Hint: since clearly ,we get , and thus: , and this last limit is zero by L'H. rule ... and yes, I know the denominator is twisted, but it never minds. Tonio
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