Give a counterexample to show that each of the following statements is false. (a) If the general

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Give a counterexample to show that each of the following statements is false.

(a) If the general term an tends to zero, then = 0. n=1

(b) The Nth partial sum of the infinite series defined by {an} is aN.

(c) If an, tends to zero, then a, converges. n=1 00 (d) If an, tends to L, then an = L. n=1

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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