Chapter 2.4, Problem 31E

Finding vertical asymptotes Find all vertical asymptotes x = a of the following functions. For each value of a, determine $\underset{x\to a^{+}}{\lim }f(x),\underset{x\to a^{-}}{\lim }f(x)$, and $\underset{x\to a}{\lim }f(x)$.

31. $f(x)=\frac{x^2-9x+14}{x^2-5x+6}$