We are very close to the infinite sum if we sum the first 50 terms in the series.

Show that the following series converges absolutely and determine the minimal

number of terms to be summed to approximate the sum of the infinite series

with a guaranteed error of less than 0.0001.  Maple Worksheet

Graph of the sequence of partial sums

Show that the series examined in Alternating Series Example 3 converges absolutely using the Ratio Test.