what are asymptotes
An asymptote is a line that approaches a given curve or a function arbitrarily closer but never intersects. There are three types of asymptotes namely, Oblique asymptote, Horizontal asymptote, and Vertical asymptote. The types of asymptotes are represented in the below graph: Note that,
An asymptote is a line that the curve never touches but approaches. like say the curve y=1/x will never touch the line x=0(y-axis) nor the y=0(x-axis). so the asymptotes are the two lines. An asymptote is generally drawn as a dotted line. It's not part of the function.