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Math Help - comparison test.

  1. #1
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    comparison test.

    here is the problem: ImageShack - Image Hosting :: 77517802tm8.jpg

    we haven't learned the alternating series test.

    not sure what to compare it to. the series converges, however i thought it behaved like a diverging p series.

    need help.
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  2. #2
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    Quote Originally Posted by rcmango View Post
    here is the problem: ImageShack - Image Hosting :: 77517802tm8.jpg

    we haven't learned the alternating series test.

    not sure what to compare it to. the series converges, however i thought it behaved like a diverging p series.

    need help.
    Since 2 +(-1)^n \le 3 then \sum_{i=1}^{\infty} \frac{2 + (-1)^n}{n\sqrt{n}} \le \sum_{i=1}^{\infty} \frac{3}{n\sqrt{n}} so by the direct comparison test your series converges.
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  3. #3
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    hey thanks.
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