ABSTRACT

Example 30.1. Convergence, Oscillation, and Divergence of Complex Series. Indicate the conditions of convergence (C.), oscillation (O.), and divergence (D.) of a

real series; combine these for the real and imaginary parts of a complex series, and conclude on the convergence, oscillation, and divergence of the latter. Also relate the convergence of the sum or product of two series to that each of the series.