Mathematics

Mathematics

Problem

Which of the following series is NOT suitable for analysis with an integral comparison starting at n=1n=1? a) ∑n=1∞1n3/2\displaystyle\sum_{n=1}^{\infty} \dfrac{1}{n^{3/2}} b) ∑n=1∞e−nn\displaystyle\sum_{n=1}^{\infty} \dfrac{e^{-n}}{n} c) ∑n=1∞sin⁡nn2\displaystyle\sum_{n=1}^{\infty} \dfrac{\sin n}{n^{2}} d) ∑n=1∞1n(ln⁡n+2)\displaystyle\sum_{n=1}^{\infty} \dfrac{1}{n(\ln n+2)}

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