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anonymous
 4 years ago
For each positive integer n, prove that (1+1/n)^{n}<(1+1/n+1)^{n}
anonymous
 4 years ago
For each positive integer n, prove that (1+1/n)^{n}<(1+1/n+1)^{n}

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JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.0What you've written isn't true. But what is true is that for all positive integers n, \[ \left(1 + \frac{1}{n}\right)^n < \left(1 + \frac{1}{n+1}\right)^{n+1} \]
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