# Thread: Can we use real convergence tests for complex series?

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

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

2. Originally Posted by Bop
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.