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Math Help - integral test help

  1. #1
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    integral test help

    i was given the series

    (1)/sqrt(n+2)

    1.) yes its decreasing, continuous, and positive

    after integrating and performing U substitution i end up getting the following

    (-2/3)[ (1) / ((x+2)^(3/2)) ] - upper limit = infinite,,,,,,lower limit = 1

    i am getting a constant value from the integral test...so then it would converge...but somehow this is suppose to diverge. Any help is greatly appreciated! thx
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  2. #2
    Super Member TheChaz's Avatar
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    The integral is 2\sqrt{x + 2}...
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