Use the Comparison Test to determine whether the series converges.

${\displaystyle \underset{k=1}{\overset{}{}}}\frac{sin(\frac{2}{k})}{k^7}$

Choose the correct answer below.

A$.$ The Comparison Test with ${\displaystyle \underset{k=1}{\overset{}{}}}{k}^7$ shows that the series converges.

B$.$ The Comparison Test with ${\displaystyle \underset{k=1}{\overset{}{}}}\frac{1}{k^7}$ shows that the series converges.

C$.$ Tha Comparison Test with ${\displaystyle \underset{k=1}{\overset{}{}}}\frac{1}{k^7}$ shows that the series diverges.

D$.$ The Comparison Test with ${\displaystyle \underset{k=1}{\overset{}{}}}{k}^7$ shows that the series diverges