Let . Compute the sum of the first six terms and state an interval of length less…

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

Problem

Let

T=\sum_{k=1}^{\infty} (-1)^{k+1}\frac{1}{2k-1}

. Compute the sum of the first six terms and state an interval of length less than

0.1

that must contain the exact value of

T