SOLUTION: if n is apositive integer prove that (1+1/n+1)^n > (1+1/n)^n

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Question 136917: if n is apositive integer prove that (1+1/n+1)^n > (1+1/n)^n
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Prove %281%2B1%2F%28n%2B1%29%29%5En+%3E+%281%2B1%2Fn%29%5En 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.
%281%2B+1%2F%28n%2B1%29%29+%3E+%281%2B1%2Fn%29
+%28%28%28n%2B1%29+%2B+1%29%2F%28n%2B1%29%29+%3E+%28%28n%2B1%29%2Fn%29
+%28%28n%2B2%29%2F%28n%2B1%29%29+%3E+%28%28n%2B1%29%2Fn%29
+%28%28n%2B2%29n%29+%3E+%28n%2B1%29%5E2
n%5E2+%2B2n+%3E+n%5E2%2B2n+%2B+1
0>1 ???
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