Let be a series with positive terms and let . Suppose that
Chapter 11, Problem 11.346(choose chapter or problem)
Let be a series with positive terms and let . Suppose that limnlrn L 1, so converges by the a Ratio Test. As usual, we let be the remainder after terms, that is, (a) If is a decreasing sequence and , show, by summing a geometric series, that (b) If is an increasing sequence, show that Rn an1 1 L
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