For which of the following series does the limit of the general term equal

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

For which of the following series does the limit of the general term equal 00, making the divergence test inconclusive? (a) ∑n=1∞nn+2\displaystyle \sum_{n=1}^{\infty}\frac{n}{n+2} (b) ∑n=1∞ln⁡nn\displaystyle \sum_{n=1}^{\infty}\frac{\ln n}{n} (c) ∑n=1∞3n2n\displaystyle \sum_{n=1}^{\infty}\frac{3^{n}}{2^{n}} (d) ∑n=1∞1+(−1)n2\displaystyle \sum_{n=1}^{\infty}\frac{1+(-1)^n}{2}

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