Can we use real convergence tests for complex series?

Bop

Dec 2009
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Can we use real convergence tests like those for complex series?
 
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Opalg

MHF Hall of Honor
Aug 2007
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2,789
Leeds, UK
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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