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Question Number 76815 by Rio Michael last updated on 30/Dec/19

$$\mathrm{Which}\mathrm{one}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{series}\mathrm{is}\mathbf{N}\mathrm{o}\mathbf{t}\mathrm{convergent}?$$$$\mathrm{A}.\underset{\mathrm{r}=1}{\sum ^{\mathrm{\infty }}}\frac{1}{{\mathrm{r}}^3}$$$$\mathrm{B}.\underset{\mathrm{r}=1}{\sum ^{\mathrm{\infty }}}\frac{1}{{\mathrm{r}}^2}$$$$\mathrm{C}.\underset{\mathrm{r}=1}{\sum ^{\mathrm{\infty }}}\frac{1}{{\mathrm{r}}^2-4}$$$$\mathrm{D}.\underset{\mathrm{r}=1}{\sum ^{\mathrm{\infty }}}\frac{1}{5\mathrm{r}}$$

Commented by JDamian last updated on 30/Dec/19

$$D$$

Commented by Rio Michael last updated on 30/Dec/19

$$\mathrm{thank}\mathrm{you}$$

Answered by 21042004 last updated on 01/Jan/20

$$\mathrm{C}.$$$$\mathrm{If}\mathrm{r}=2,\mathrm{then}\frac{1}{2^2-4}=\frac{1}{0}$$

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