## Test The Following Series 1/3+1.2/3.5+1.2.3/3.5.7+…∞

\frac{1}{3}+\frac{1.2}{3.5}+\frac{1.2.3}{3.5.7}+...\infty

## show that the sequence defined by sn=(1/n+1)+(1/n+2)+(1/n+3)+…+(1/n+n) converges

\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+...+\frac{1}{n+n}