find $\lim_{n \to \infty} \frac{(n^2+1)(n^2+2) \cdots (n^2+n)}{(n^2-1)(n^2-2) \cdots (n^2-n)}$ 
Find $$\lim_{n \to \infty} \frac{(n^2+1)(n^2+2) \cdots (n^2+n)}{(n^2-1)(n^2-2) \cdots (n^2-n)}$$

I tried to apply the squeeze theorem, yet none of my attempts led me to the solution.

Hint: try logarithms (after cancelling by n-times $n^2$). Write the double-sum of mercator series and check what change-of-order of summation gives...
