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Question Number 29607 by tawa tawa last updated on 10/Feb/18

$$\mathrm{Prove}\mathrm{the}\mathrm{convergence}\mathrm{of}\mathrm{each}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{sequence}$$$$\left(\mathrm{i}\right){\left\{\frac{\mathrm{n}-1}{\mathrm{n}}\right\}}_{\mathrm{n}=1}^{\mathrm{\infty }}\left(\mathrm{ii}\right){\left\{\frac{1}{\sqrt[\mathrm{n}]{2}}\right\}}_{\mathrm{n}=1}^{\mathrm{\infty }}\left(\mathrm{iii}\right){\left\{\frac{\mathrm{n}+1}{\mathrm{n}}\right\}}_{\mathrm{n}=1}^{\mathrm{\infty }}$$

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