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Consider the alternating series. ∑ n = 1 ∞ (−1) n + 1 n Given that the series converges, find the smallest integer k such that the kth partial sum, ∑ n = 1 k (−1) n + 1 n, estimates the series to within |0.01|.

Consider the alternating series. ∑ n = 1 ∞ (−1) n + 1 n Given that the series converges, find the smallest integer k such that the kth partial sum, ∑ n = 1 k (−1) n + 1 n, estimates the series to within |0.01|.

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Consider the alternating series.
∑ n = 1 ∞ ( − 1 ) n + 1 n
Given that the series converges, find the smallest integer k such that the k th partial sum, ∑ n = 1 k ( − 1 ) n + 1 n , estimates the series to within | 0.01 | .

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