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Math Help - Convergent and Divergent Series

  1. #1
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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. #2
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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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