Mathematics

Mathematics

Problem

For f(x)=ln⁡xx2f(x)=\dfrac{\ln x}{x^{2}} on [2,∞)[2,\infty), does ff satisfy all requirements needed to use its improper integral to study the series ∑n=2∞ln⁡nn2\displaystyle\sum_{n=2}^{\infty}\frac{\ln n}{n^{2}}? State “yes” or “no” and give a brief reason in one sentence.

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