$[10pts.]$

Determine whether the following improper integrals are convergent $or$ divergent. For the

integrals that are convergent, find the value $to$ which the integral converges.

$(a),{\displaystyle \underset{2}{\overset{5}{}}}\frac{dx}{x-2}$

$(b),{\displaystyle \underset{3}{\overset{}{}}}\frac{dx}{x\sqrt[\phantom{2}]{4x^2-9}}$