Mathematics

Mathematics

Problem

Determine whether the series ∑n=1∞4n2−13n3+2\sum_{n=1}^{\infty}\frac{4n^{2}-1}{3n^{3}+2} converges or diverges. a) It converges because its terms behave like 1n2\dfrac{1}{n^{2}}. b) It converges because its terms approach 00. c) It diverges because its terms behave like 1n\dfrac{1}{n}. d) It converges because it is a pp-series with p=3>1p=3>1.

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