For , consider the series . Identify all real values of for which the series…

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

Problem

For

k>0

, consider the series

\displaystyle\sum_{n=1}^{\infty}\frac{k^{\,n}}{n}

. Identify all real values of

k

for which the series converges.