Approximating Catalan's Constant
Approximating Catalan's Constant
Catalan's constant is the alternating sum of the reciprocals of odd squares, . The area of each green region is the sum of a positive/negative pair of terms. Thus the total green area approaches Catalan's constant. Use the slider to change the number of term pairs considered.
1-1/9+1/25-1/49+1/81+...≈0.915966…
External Links
External Links
Permanent Citation
Permanent Citation
Michael Schreiber
"Approximating Catalan's Constant"
http://demonstrations.wolfram.com/ApproximatingCatalansConstant/
Wolfram Demonstrations Project
Published: September 28, 2007