Imaginary convergence

1. Oct 19, 2007

jbowers9

If you have an infinite series some or all of whose coefficients involve imaginary terms how do you check for convergence?

2. Oct 19, 2007

DavidSmith

jsut split series into complex and real parts and test convergence for each part

3. Oct 19, 2007

ZioX

The reals are a subset of the imaginary numbers. Hence just check for convergence in the complex plane.

4. Oct 19, 2007

d_leet

I wouldn't say that, because when you say imaginary number there is usually the implication that you are speaking of a number in the form ri where r is a real number. The reals are, however, a subset of the complex numbers.

5. Oct 20, 2007

SiddharthM

like davidsmith said, split up the series into real and imaginary parts. Then you effectively have to deal with two real-valued series.