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Math Help - [SOLVED] squeeze theorem for sequences

  1. #1
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    [SOLVED] squeeze theorem for sequences

    I don't understand how to use the squeeze theorem at all. The problem is:

    Use the squeeze theorem to determine what an=(ncosn)/(n^2) converges to?
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  2. #2
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    Quote Originally Posted by Amberosia32 View Post
    I don't understand how to use the squeeze theorem at all. The problem is:

    Use the squeeze theorem to determine what an=(ncosn)/(n^2) converges to?
    a_n = \frac{n \cos n}{n^2} = \frac{\cos n}{n}

    Since -1 \le \cos n \le 1 then \frac{-1}{n} \le \frac{\cos n}{n} \le \frac{1}{n}. Now take limits.
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  3. #3
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    Quote Originally Posted by Danny View Post
    a_n = \frac{n \cos n}{n^2} = \frac{\cos n}{n}

    Since -1 \le \cos n \le 1 then \frac{-1}{n} \le \frac{\cos n}{n} \le \frac{1}{n}. Now take limits.
    Thank you. I thought it would be much more complicated.
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