Writing Consider the series1 12 +23 13 +24 14 +25 15 +Determine whether this series

Chapter 9, Problem 55

(choose chapter or problem)

Writing Consider the series

\(1-\frac{1}{2}+\frac{2}{3}-\frac{1}{3}+\frac{2}{4}-\frac{1}{4}+\frac{2}{5}-\frac{1}{5}+\cdots\)

Determine whether this series converges and use this series as an example in a discussion of the importance of hypotheses \((a)\) and \((b)\) of the alternating series test (Theorem 9.6.1).

Equation Transcription:

Text Transcription:

1 - frac{1}{2} + frac{2}{3} - frac{1}{3} + frac{2}{4} - frac{1}{4} + frac{2}{5} - frac{1}{5} + cdot cdot cdot

a

b

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