QUESTION $5$

Consider the series

I. ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{(-1{)}^{n+1}}{n^{\frac{5}{4}}}$

II$.{\displaystyle \underset{n=0}{\overset{}{}}}\frac{(-1{)}^n}{\sqrt[\phantom{2}]{n+3}}$

Which of the following statements is TRUE?

A$.$ I converges absolutely but II converges conditionally

B$.$ I and II converge absolutely

C$.$ I diverges but II converges absolutely

D$.$ I and II converge conditionally

E$.$ I converges absolutely but II diverges