A

$\displaystyle\sum\limits_{n=1}^{\infty}(-1)^n\dfrac{5^n-3^n}{5^n}$

B

$\displaystyle\sum\limits_{n=1}^{\infty}(-1)^{n-1}\dfrac1{\sqrt{5n+4}}$

C

$\displaystyle\sum\limits_{n=1}^{\infty}(-1)^n\dfrac{\sqrt{n^2+1+\sin n}}{n+1}$

D

$\displaystyle\sum\limits_{n=1}^{\infty}(-1)^{n-1}\dfrac1{(n+3)\sqrt{3n+2}}$