Conditional Convergence

Author

Eric W. Weisstein
April 14, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/ConditionalConvergence.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/ConditionalConvergence.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Examples

Sum[(-1)^(n+1)/n,{n,∞}]

Sum[1/n,{n,∞}]

FullSimplify[Sum[(-1)^n Log[n]/n,{n,∞}]]

Wrong in v4.2

Sum[ Log[n]/n,{n,∞}]

Sum[ Log[n]/n,{n,∞}]