For the series

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

Problem

For the series ∑n=1∞1n\displaystyle \sum_{n=1}^{\infty} \frac{1}{\sqrt{n}}, determine whether the nn-th term test establishes that the series converges, diverges, or yields no conclusion. Provide the appropriate limit to support your answer.

Related theory

Browse the problem library