hi,
find the lim of |1/(((n+1)^2)*2^n)|^(1/n).
Sorry if that's a bit messy.
Thanks
No I am doing something wrong. I did the limit of e is $\displaystyle (1+1/n)^n$ NOT $\displaystyle (1+1/n)^{1/n}$. (I had something to drink).
But $\displaystyle (n+1)^{1/n} \to 1$ because:
$\displaystyle n^{1/n} \leq (n+1)^{1/n} \leq (n+n)^{1/n} = 2^{1/n} \cdot n^{1/n}$.
Use the squeze theorem.