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Thread: Limit Rp problem

  1. February 1st 2010, 05:57 AM #1
    gilyos
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    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 ...
    Last edited by gilyos; February 1st 2010 at 07:57 AM.
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  2. February 1st 2010, 08:58 AM #2
    Danny
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    Quote Originally Posted by gilyos View Post
    \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.
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