Hello,

Show that $\displaystyle lim_{n\rightarrow +\infty}n[1-\frac{(n+1)^{n}}{en^{n}}]=\frac{1}{2}.$

Thanks in advance.

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- Oct 26th 2009, 05:11 AMBiscaimabout sequences 1
Hello,

Show that $\displaystyle lim_{n\rightarrow +\infty}n[1-\frac{(n+1)^{n}}{en^{n}}]=\frac{1}{2}.$

Thanks in advance. - Oct 27th 2009, 06:19 PMmr fantastic
It looks to me like you'll need to develop this expression as a series. See - Wolfram|Alpha

- Oct 27th 2009, 08:15 PMrn443