Chapter 11.4, Problem 20E

To determine

Whether theinfinite series ${\displaystyle \sum _{k=1}^{\infty }\frac{3^k}{4^k}}$ is convergent or divergent and to state the easiest way to check the series ${\displaystyle \sum _{k=1}^{\infty }\frac{3^k}{4^k}}$ is convergent or divergent, then determine if ${\displaystyle \underset{1}{\overset{\infty }{\int }}\frac{3^x}{4^x}dx}$ is convergent or not.