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Math Help - Can we use real convergence tests for complex series?

  1. #1
    Bop
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    Can we use real convergence tests for complex series?

    Can we use real convergence tests like those for complex series?
    Last edited by mr fantastic; May 9th 2010 at 05:38 PM. Reason: Copied title into main body of post.
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    Quote Originally Posted by Bop View Post
    Can we use real convergence tests like those for complex series?
    You can use them to test a complex series for absolute convergence. In other words, take the absolute value of each term and then test the resulting series of positive terms for convergence. If a series of complex terms converges absolutely then it will converge.
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