11.5 Infinite Sequences & Series
Question #4 (Medium): Sum of Series Correct to Limited Decimal Place
In order to determine the sum of the series exactly correct to the number of decimal places assigned,
then test a couple of ’s and see if it is outside the number of decimal places. Then adding that to
does not affect the value of the sum to the assigned decimal place. Thus you can be sure that is
matches the true value of the sum of the series up to that number of decimal places.
Approximate the sum of the series correct to four decimal places.
Given the alternating series,