lim as 2 approaches infinity

the limit of integration infinity becomes b, and you have to apply the FTC to determine whether it's convergent/divergent etc.

My answer for the integration alone is . When I replace the x by 2 and evaluate, I get -0.0425. However I don't know what to do when doing the same thing with B as my value.

This is what I'm left with; lim as 2 approaches infinity

How can I follow this up?