Chapter 14.8, Problem 4P

Find out whether infinity is a regular point, an essential singularity, or a pole (and if a pole, of what order) for each of the following functions. Using Problem $1,$ or Problem 2n or $(8.3),$ find the residue of each function at infinity. Check your results by computer.

$\frac{2z+3}{{(z+2)}^2}$