The function has a hole at x = 5 False, you can still solve the function if x = 5, the answer is 0
The function has a slant asymptote at y = 0
The function has a vertical asymptote at x = - 1/3 , since the limit of the function is infinite the vertical asymptote is at x = 1/3
SOLUTION:
The function has a horizontal asymptote at y = 1/6