Find all vertical asymptotes, x = a, of the following function. For each value of a, evaluate lim f(x), lim f(x), and lim f(x). Use ∞ or -∞ when appropriate.
f(x) = (x^2 - 7x + 10) / (x^2 - 6x + 8)
Select the correct choice below, and fill in the answer box if necessary.
A. The vertical asymptote is x = . The limits at this vertical asymptote are lim f(x) = , lim f(x) = , and lim f(x) = .
B. The vertical asymptote is x = . The limits at this vertical asymptote are lim f(x) = , lim f(x) = , and lim f(x) does not exist and is neither ∞ nor -∞.
C. There is no vertical asymptote.