How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x) = 7 tan(πx)#?
There are no oblique asymptotes. Oblique asymptotes occur in rational functions where the numerator is of higher degree then the denominator. This is not a rational function. The function is periodic, so no horizontal asymptotes.
Vertical asymptotes occur where the function is undefined.
We can express this as:
so the function is undefined when