Chapter 2.2, Problem 57E

Limits by graphs Use a graphing utility to plot $y=\frac{\sin px}{\sin qx}$ for at least three different pairs of nonzero constants p and q of your choice. Estimate $\underset{x\to 0}{\lim }\frac{\sin px}{\sin qx}$ in each case. Then use your work to make a conjecture about the value of $\underset{x\to 0}{\lim }\frac{\sin px}{\sin qx}$ for any nonzero values of p and q.