What are Asymptotes?
Answer – Asymptotes are lines that extend infinitely and inch very close to a curve without actually touching it.
Explanation:
Asymptotes are imaginary and hence usually represented by dotted lines.
Consider a curve . As it approaches or , its asymptote will be a straight line such that the distance between the curve and the asymptote tends to zero.
Asymptotes may either be horizontal or vertical. As the x-axis nears or , a horizontal asymptote is a line such that a part of the curve approaches the value of a but never equals a.
Similarly, a vertical asymptote to a curve is a straight line such that when the y-axis tends to or , the curve nears the value of b but doesn’t equal b.
