$(1$ point$)$ Compute the value of the following improper integral. If it converges, enter its value. Enter infinity if it diverges to $,$ and $-$infinity if it diverges to $-.$ Otherwise, enter diverges.

${\displaystyle \underset{2}{\overset{}{}}}\frac{dx}{(2x-2{)}^5}=$

Does the series ${\displaystyle \underset{n=2}{\overset{}{}}}\frac{1}{(2n-2{)}^5}$ converge or diverge?