lim as n approaches infinity of (n/(n+1))^2n

limit equals e?

if so why?

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- Jun 24th 2006, 07:03 PMNichelle14Is the correct Limit?
lim as n approaches infinity of (n/(n+1))^2n

limit equals e?

if so why? - Jun 24th 2006, 08:11 PMThePerfectHackerQuote:

Originally Posted by**Nichelle14**

Consider,

Since, the limit exists, then you can evaluate, because it is countinous for .

Thus,

Thus, you have,

Again, since is countinous you can evaluate both sides by it thus,

Thus,