Match the following improper integral with the improper integral below in which you can compare using the Comparison Test. Then determine whether the integral converge or diverge.
** A. ** \displaystyle \int_1^{\infty}\! \frac{dx}{x} ,
** B. ** \displaystyle \int_1^{\infty}\! \frac{dx}{x^2} ,
** C. ** \displaystyle \int_1^{\infty}\! \frac{dx}{x^3} , and
** D. ** \displaystyle \int_1^{\infty}\! \frac{dx}{\sqrt{x}}

** 1. ** \displaystyle \int_1^{\infty}\! \frac{dx}{x^{2}+5} Does this integral converge or diverge?
?
Converges
Diverges

** 2. **

** 3. **

** 4. **

In order to get credit for this problem all answers must be correct.