$\displaystyle \alpha , a, b $ real numbers $\displaystyle lim_{n \to \infty} \frac{acos^2n\alpha + bsin^2n\alpha}{n} = ?$ What is the limit and you must to prove. somebody help ...
Last edited by gilyos; Feb 1st 2010 at 07:57 AM.
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Originally Posted by gilyos $\displaystyle \alpha , a, b $ real numbers $\displaystyle lim_{n \to \infty} \frac{acos^2n\alpha + bsin^2n\alpha}{n} = ?$ What is the limit and you must to prove. somebody help ... Try using the fact that $\displaystyle 0 \le \sin^2x \le 1$ and $\displaystyle 0 \le \cos^2x \le 1$.
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