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Question Number 142492 by leesjyons last updated on 01/Jun/21

$$\mathrm{Prove}\mathrm{that}\underset{n=0}{\sum ^{\mathrm{\infty }}}\frac{n}{3n^2+2}\mathrm{diverges}.$$

Answered by mathmax by abdo last updated on 02/Jun/21

$$\mathrm{dvergence}\mathrm{clear}\mathrm{due}[\mathrm{to}\frac{\mathrm{n}}{{3\mathrm{n}}^2+2}\sim \frac{1}{3\mathrm{n}}(\mathrm{n}\sim \mathrm{\infty })\mathrm{and}\mathrm{\Sigma }\frac{1}{3\mathrm{n}}\mathrm{dv}$$

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