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Thread: Convergent and Divergent Series

  1. October 20th 2010, 12:58 PM #1
    qwerty10
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    Convergent and Divergent Series

    I have to prove the following

    If the series An is convergent and the series Bn is divergent then (An + Bn) is divergent.

    Not sure where to start
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  2. October 20th 2010, 08:24 PM #2
    tonio
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    Quote Originally Posted by qwerty10 View Post
    I have to prove the following

    If the series An is convergent and the series Bn is divergent then (An + Bn) is divergent.

    Not sure where to start


    Suppose the series of A_n+B_n is convergent , thus as the sum/difference of convergent series is convergent, so is convergent the series of (A_n+B_n)-A_n ...

    Tonio
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