Question 136917
Prove {{{(1+1/(n+1))^n > (1+1/n)^n}}} when n is a positive integer

Since n is a positive number, we can drop the exponent. (Raising a positive number greater than 1 by a positive integer, will only make that number bigger still.

{{{(1+ 1/(n+1)) > (1+1/n)}}}
{{{ (((n+1) + 1)/(n+1)) > ((n+1)/n)}}}
{{{ ((n+2)/(n+1)) > ((n+1)/n)}}}
{{{ ((n+2)n) > (n+1)^2}}}
{{{n^2 +2n > n^2+2n + 1}}}
0>1 ???

Are you sure you entered the problem correctly?