The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Example 8

Find the sum of the alternating harmonic series

1 - ½ + ⅓ - ¼ + ...

Our first guess is to set x = -1 in the power series

09_infinite_series-662.gif

This suggests to us the sum

ln 2 = 1 - ½ + ⅓ - ¼ + ...


Last Update: 2006-11-15