Chapter 9.4, Problem 66E

Verifying Divergence Use the result of Exercise 64 to show that each series diverges.

(a) ${\displaystyle \underset{n=1}{\overset{\infty }{\sum }}{(n+2)}^2}$

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

(c) ${\displaystyle \underset{n=2}{\overset{\infty }{\sum }}\frac{1}{\ln n}}$

(d) ${\displaystyle \underset{n=1}{\overset{\infty }{\sum }}\frac{e^n}{\sqrt{n}}}$