Determine the least integer such that the partial sum approximates the total sum of…

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

Problem

Determine the least integer nn such that the partial sum Sn=∑k=1n(−1)k+11kS_{n}=\sum_{k=1}^{n} (-1)^{k+1}\frac{1}{k} approximates the total sum of the series to within 0.00050.0005.

Related theory

Browse the problem library