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Math Help - convegent or divergent by Alternating Series Test

  1. #1
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    convegent or divergent by Alternating Series Test

    Please help to determine whether the series is convergent or divergent by Alternating Series Test.
    (-1)^n (2n-1)/2n
    My reasoning a(n+1) = (2n+1)/(2n+2)
    a(n+1) less or equal to an. This is where I am having a problem. It looks like it is wrong. Right?
    Then what? The test failed?
    Thank you
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  2. #2
    o_O
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    Alternating test does not apply because one of the conditions required to use it fails, namely: \lim_{n \to \infty} \frac{2n-1}{2n} \neq 0
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