For the alternating harmonic series

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

For the alternating harmonic series ∑n=1∞(−1)n−11n\displaystyle \sum_{n=1}^{\infty} (-1)^{n-1}\frac{1}{n}, what is the least integer NN such that the magnitude of the error after NN terms is less than 0.010.01? (a) 9999 (b) 101101 (c) 100100 (d) 5050

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