
absolute convergence


A series is said to be absolutely convergent if it still converges when all the terms are replaced by the corresponding absolute values.
The following series is an example of absolute convergence: 1  (1/2)^{2} + (1/3)^{3}  (1/4)^{4} + ... This is because 1 + (1/2)^{2} + (1/3)^{3} + (1/4)^{4} + ... is also convergent.

