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Math Help - sequence and series

  1. #1
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    sequence and series

    Determine whether the series converges or diverges

    (sin^2 n) / (n^2 + 4)

    The summation goes from n=1 to n=infinity
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  2. #2
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    Hi

    0 \leq \frac{\sin^2 n}{n^2 + 4} \leq \frac{1}{n^2 + 4} \leq \frac{1}{n^2}
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  3. #3
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    Quote Originally Posted by running-gag View Post
    Hi

    0 \leq \frac{\sin^2 n}{n^2 + 4} \leq \frac{1}{n^2 + 4} \leq \frac{1}{n^2}
    It is therefor convergent by the P-series Test correct? because we showed that it is <= to 1/n^2 and since the p is greater than 1 it will converge?
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  4. #4
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    Yes.
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