Identify a -series that serves as an appropriate benchmark for the series and write…

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

Problem

Identify a pp-series that serves as an appropriate benchmark for the series ∑n=1∞5n2+4\displaystyle\sum_{n=1}^{\infty}\frac{5}{n^{2}+4} and write the explicit inequality relating the nthn^{\text{th}} terms of the two series.

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