The partial sums of a series are

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The partial sums of a series are Sn=2+(−1)n1nS_n = 2 + (-1)^n\dfrac{1}{n}. Does the series converge or diverge? Explain your conclusion in terms of the limit of SnS_n.

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