Consider the function [tex]p(x)=\frac{cos^{2}x }{sin2x}[/tex]. Which of the following accurately describes the limit as x approaches 0 of the function?
a. as x approaches 0, the limit of p(x) approaches a large negative y-value
b. As x approaches 0, the limit of p(x) does not exist
c. As x approaches 0, the limit of p(x) approaches 0
d. As x approaches 0, the limit of p(x) approaches a large positive y-value