(a) using computer or tables (or see chapter 7, section 11), verify that p[infinity] n=1 1/n2 = π2/6=1.6449+, and also verify that the error in approximating the sum of the series by the first five terms is approximately 0.1813. (b) by computer or tables verify that p[infinity] n=1(1/n2)(1/2)n = π2/12−(1/2)(ln 2)2 = 0.5822+, and that the sum of the first five terms is 0.5815+. (c) prove theorem (14.4). hint: the error is | p[infinity] n+1 anxn|. use the fact that the absolute value of a sum is less than or equal to the sum of the absolute values. then use the fact that |an+1|≤|an| to replace all an by an+1, and write the appropriate inequality. sum the geometric series to get the result.