$\displaystyle

\displaystyle\lim_{n\to\infty}(\frac{n^2+3}{n^2+1} )^{n^{2}+2}

$

Without the n^2+2 in exponent would be easy. But how do we get rid of that?

Sorry if it's a stupid question, but in school we didn't solve these kind of problems.

The result should be e^2 or something like that.