On page 509, we gave Eulers result + n=1 1 n2 = 2 6 . (a) Find the sum of the first 20

Chapter 9, Problem 49

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On page 509, we gave Eulers result + n=1 1 n2 = 2 6 . (a) Find the sum of the first 20 terms of this series. Give your answer to three decimal places. (b) Use your answer to estimate . Give your answer to two decimal places. (c) Repeat parts (a) and (b) with 100 terms. (d) Use a right sum approximation to bound the error in approximating 2/6 by *20 n=1(1/n2) and by *100 n=1(1/n2).

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