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Math Help - series question.

  1. #1
    Senior Member
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    series question.

    Hi, need help with this one: ImageShack - Image Hosting :: 65520560om6.jpg

    it looks like an alternating series, which would need to eventually start decreasing and approach 0.

    i thought about using the ratio test, or nth term test.

    thanks for any help.
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Apply Leibniz test. First prove the limit of the general term is zero, and prove that a_n=\sqrt{n+1}-\sqrt n is a strictly decreasing sequence for n>0.
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