1. ## Limit Rp problem

$\alpha , a, b$ real numbers

$lim_{n \to \infty} \frac{acos^2n\alpha + bsin^2n\alpha}{n} = ?$

What is the limit and you must to prove.

somebody help ...

2. Originally Posted by gilyos
$\alpha , a, b$ real numbers

$lim_{n \to \infty} \frac{acos^2n\alpha + bsin^2n\alpha}{n} = ?$

What is the limit and you must to prove.

somebody help ...
Try using the fact that $0 \le \sin^2x \le 1$ and $0 \le \cos^2x \le 1$.