Determine whether the series converges or diverges.

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

Problem

Determine whether the series ∑n=1∞nsin⁡ ⁣(1n)\displaystyle \sum_{n=1}^{\infty} n\sin\!\left(\tfrac{1}{n}\right) converges or diverges.

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