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Math Help - Ratio Test

  1. #1
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    Ratio Test

    So I need to determine whether the following converges or diverges, using the ratio test:
    series from n=1 to infinity of (n*ln(n))/(2^n)
    I got it down to (1/2)((n+1)(ln(n+1)))/(n*ln(n)), and I'm stuck. Any hints? Did I mess up in the algebra?
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  2. #2
    Moo
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    Hello,

    You just have to say that when x approaches infinite, ln(x+1)~ln(x)

    And the limit of (n+1)/n can be found by dividing the numerator and the denominator by n.

    So the limit of the ratio will be 1/2
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