Prove $\sum x_n < \infty \implies \sum \frac{\sqrt {x_n}}{n} < \infty$ if $x_n \geq 0$
Show that $\sum\limits_{n=1}^\infty \frac {\sqrt{a_n}}{n}$ converges if $\sum\limits_{n=1}^\infty{a_n}$ does provided that $a_n>0$