Ok. I know that the lim (n to inf) of the sequence [1+(1/n)]^n=e.

How would I find the lim (n to inf) of [1+(2/n)]^n using the above limit? I know the answer is e^2, but how would I show it?

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- October 23rd 2006, 11:42 AMJimmyTLimit of e
Ok. I know that the lim (n to inf) of the sequence [1+(1/n)]^n=e.

How would I find the lim (n to inf) of [1+(2/n)]^n using the above limit? I know the answer is e^2, but how would I show it? - October 23rd 2006, 12:46 PMearboth
- October 23rd 2006, 12:52 PMCaptainBlack
- October 23rd 2006, 04:25 PMJimmyT
Along the same lines, how would you manipulate the lim (n to inf) of

(3n)^(1/(2n)) to get 1?

Jim - October 23rd 2006, 04:50 PMThePerfectHacker
- October 23rd 2006, 04:57 PMThePerfectHacker