You haved the following function:
y = 3/x
To determine the vertical asymptote, consider when the denominator is equal to zero (because the division by zero is an indetermination), this happens when x=0. Hence, the vertical asymptote is x = 0
The horizontal asymptote is find by applying the limit when x=>∞, just as follow:
Lim y = Lim 3/x = 3/∞ = 0
x=>∞ x=>∞
Hence, the horizontal asymptote is y = 0
answer: x = 0, y = 0
