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13 Nov 2019
EXAMPLE5 (a) Approximate the sum of the series Σ 1/ng by using the first 10 ter (b) How many terms are required to ensure that the sum is accurate t In both parts (a) and (b) we need to know / x) dx. with f(x)-1/ dx= lim 8x 8n (a) Approximating the sum of the series by the tenth partial sum, we ha 123 10020(rounded to four decimal places). According to the remainder estimate in the Remainder Estimate for the Ir Rig 3 so the size of the error is at most 0.00000000125. (b) Accuracy to within 0.0005 means that we have to find a value of n suc 872 we wantS 0.0005. Solving this inequality, ve get 82
EXAMPLE5 (a) Approximate the sum of the series Σ 1/ng by using the first 10 ter (b) How many terms are required to ensure that the sum is accurate t In both parts (a) and (b) we need to know / x) dx. with f(x)-1/ dx= lim 8x 8n (a) Approximating the sum of the series by the tenth partial sum, we ha 123 10020(rounded to four decimal places). According to the remainder estimate in the Remainder Estimate for the Ir Rig 3 so the size of the error is at most 0.00000000125. (b) Accuracy to within 0.0005 means that we have to find a value of n suc 872 we wantS 0.0005. Solving this inequality, ve get 82
Deanna HettingerLv2
30 Mar 2019