Chapter 1.6, Problem 5P

Test the following series for convergence using the comparison test.

(a) ${\displaystyle \underset{n=1}{\overset{\infty }{\sum }}\frac{1}{\sqrt{n}}}$ Hint: Which is larger, $nor\sqrt{n}$?

(b) ${\displaystyle \underset{n=1}{\overset{\infty }{\sum }}\frac{1}{1nn}}$