I have to prove the following equation for homework $\lim_{x\to \infty }\frac{x^2}{x^2+\sin^2 x}=1$
The proof must be done by proving that for every $e > 0$ exists a $M > 0$ so that for every $x > M$, $|f(x)-1| < e$ is true.
I can't seem to figure this one out.
I would greatly appropriate anyone who tries to help me out :) Thanks