1. The problem statement, all variables and given/known data How do you determine if the limit of (1+1/n^2)^(n^2) exists and what it is? This cannot use logarithms at any point. 2. Relevant equations (1+1/n)^n --> e 3. The attempt at a solution Let N=n^2 Given (1+1/N)^N --> e, then (1+1/n^2)^(n^2) must --> e also. Is this allowed though? Do I need to put restrictions on N? I was thinking that I might need to show that N and n^2 have the same limit on their own, but since I have created N, it's limit is obviously that of n^2.