We established that the geometric series r k converges provided |r| < 1. Notice that if -1

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We established that the geometric series ∑rk converges provided |r| < 1. Notice that if -1 < r < 0, the geometric series is also an alternating series. Use the Alternating Series Test to show that for -1 < r < 0, the series ∑rk converges.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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