(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given as true f(x) = (1+1/x)^x is strictly increasing for x>=1 and that f(x) has horizontal asymptote y=e.

Prove that (n/3)^n< n! <(n/2)^n for all integers n>=6 ?

2. Relevant equations

3. The attempt at a solution

f(x)=(1+1/x)^x is increasing and approach e

prove (n/3)^n< n! <(n/2)^n for all n>=6

So I attempt to use f(x) to replace n but that will not work for the base case 1 because n>6

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# Homework Help: Given as true f(x) = (1+1/x)^x is strictly increasing for x>=1

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