(4 points) a.) Compute S3 (the 3rd partial sum) of the following series. Answer: 4 S...

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(4 points) a.) Compute S3 (the 3rd partial sum) of the following series. Answer: 4 S == 10n3 n=1 ) b.) Estimate the error in using S3 as an approximation of the sum of the series. (i.e. use f(x) dx > R3 Answer: c.) Use n = 3 and Sn + S L , f (x) dx + f (x)dx n+1 to find a better estimate of the sum. n Answer: < S --- --- Note: the answers in the last part are tested to high precision. (4 points) a.) Compute S3 (the 3rd partial sum) of the following series. Answer: 4 S == 10n3 n=1 ) b.) Estimate the error in using S3 as an approximation of the sum of the series. (i.e. use f(x) dx > R3 Answer: c.) Use n = 3 and Sn + S L , f (x) dx + f (x)dx n+1 to find a better estimate of the sum. n Answer: < S --- --- Note: the answers in the last part are tested to high precision.