Let an = (n), where is a continuous, decreasing function such that (x)

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Let an = ƒ (n), where ƒ is a continuous, decreasing function such that ƒ (x) ≥ 0 andS. f(x) dx.

Using the inequality in (3), show that

1 sa 1.2 n=1 5 6

This series converges slowly. Use a computer algebra system to verify that S43,129 ≈ 5.00000021.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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