Is there is a limit to: $\lim\limits_{n \to \infty} \left ( 1 + \sin \frac1{n^2} \right )^{n^2} $ I need to calculate the limit or prove that the limit does not exists: 

$$
\lim_{n \to \infty} \left ( 1 + \sin \frac{1}{n^2} \right )^{n^2}
$$

Can someone guide how to solve this? 

And please, don't just write the answer, it's my homework and I need to learn, not to copy.
$$\lim_{n \to \infty}\left(1+\sin\left(\frac{1}{n}\right)\right)^{n}=\exp\left(\lim_{n \to \infty}\sin\left(\frac{1}{n}\right)n\right)=\exp\left(\lim_{n \to \infty}\frac{\sin\left(\frac{1}{n}\right)}{\frac{1}{n}}\right)=\exp\left(1\right)=e$$
Yes this can be solved ! when n tends to infinity try inverting everything with using an h=1/x where x tends to 0 and you will be easily solving it for the power thing for such type of limits use logarithm .