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Math Help - absolutely converging or diverging?

  1. #1
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    absolutely converging or diverging?

    heres the problem:
    converging absolutely or diverging?

    http://img525.imageshack.us/img525/2296/35297847wb1.png

    I want to say that it diverges, but its said that it is absolutely convergent!


    i was givin the hint of: http://img254.imageshack.us/img254/813/50083391wc0.png

    however, what happened to the 3^n and also is the hint implying the divergence test?

    i'm very new to the ratio test. this may be used here also.

    thanks.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by rcmango View Post
    heres the problem:
    converging absolutely or diverging?

    http://img525.imageshack.us/img525/2296/35297847wb1.png

    I want to say that it diverges, but its said that it is absolutely convergent!


    i was givin the hint of: http://img254.imageshack.us/img254/813/50083391wc0.png

    however, what happened to the 3^n and also is the hint implying the divergence test?

    i'm very new to the ratio test. this may be used here also.

    thanks.
    yes, use the ration test

    basically: \sum a_n converges absolutely if \lim \left| \frac {a_{n + 1}}{a_n} \right| < 1, diverges if \lim \left| \frac {a_{n + 1}}{a_n} \right| > 1 and the ratio test gives no information if \lim \left| \frac {a_{n + 1}}{a_n} \right| = 1
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