Euler's Series Transformation

Author

Eric W. Weisstein
April 14, 2004

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

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

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

Examples for Knopp

Sum[#,{n,0,∞}]&/@{((((-1))^n)/(2^n)),(1/(2 (4^n)))}

Sum[#,{n,0,∞}]&/@{((((-1))^n)/(3^n)),(1/(2 (3^n)))}

Sum[#,{n,0,∞}]&/@{((((-1))^n)/(4^n)),(1/(2 ))((((3/(8 ))))^n)}