Prove-the-convergence-of-each-of-the-following-sequence-i-n-1-n-n-1-ii-1-2-1-n-n-1-iii-n-1-n-n-1-

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

Prove the convergence of each of the following sequence

(i) {\frac{n - 1}{n}}_{n = 1}^{\infty} (ii) {\frac{1}{\sqrt[n]{2}}}_{n = 1}^{\infty} (iii) {\frac{n + 1}{n}}_{n = 1}^{\infty}