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Math Help - Final Exams: Series Help!!

  1. #1
    zee
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    Unhappy Final Exams: Series Help!!

    I am totally lost... need some HELP...

    Classify each of the series as absolutely convergent,
    conditionally convergent, or divergent.
    a) (Sigma n=1..inf) (4^2n)/((-5)^n)

    b) (Sigma n=1..inf) sin(1/n^1/2)

    c) (Sigma n=1..inf) (-1)^n-1(2^3n)/(n^n)

    please help... im not thorough with sequences and series at all..
    zee
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  2. #2
    hpe
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    Quote Originally Posted by zee
    I am totally lost... need some HELP...

    Classify each of the series as absolutely convergent,
    conditionally convergent, or divergent.
    a) (Sigma n=1..inf) (4^2n)/((-5)^n)

    b) (Sigma n=1..inf) sin(1/n^1/2)

    c) (Sigma n=1..inf) (-1)^n-1(2^3n)/(n^n)

    please help... im not thorough with sequences and series at all..
    zee
    a) Use the ratio test. (abs convergent)

    b) Use the limit comparison test with n^(-1/2). (divergent)

    c) Use the ratio test or the root test, or estimate 2^3n/(n^n) < (8/9)^n for n >9 (abs convergent)
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