Use the inequalities in (4) from Exercise 83 with M = 40,000 to show that Is this

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Use the inequalities in (4) from Exercise 83 with M = 40,000 to show that

1.644934066  n=1 n 1.644934068

Is this consistent with Euler’s result, according to which this infinite series has sum π2/6?


Data From Exercise 83 (4)

M  an + n=1 M+1  f(x) dx  5   an + f(x) dx s M+1 n=1 M+1

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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