Determine whether the series can possibly converge

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

Problem

Determine whether the series ∑n=1∞n+(−1)nn\displaystyle\sum_{n=1}^{\infty}\frac{n+(-1)^{n}}{n} can possibly converge, based solely on the value of lim⁡n→∞n+(−1)nn\displaystyle\lim_{n\to\infty}\frac{n+(-1)^{n}}{n}. State "converge possible" or "converge impossible."

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