An asymptote is a line which is so close to a curve that its distance from the given curve tends to zero at infinity.

They are of two types
1. Horizontal Asymptote
2. Vertical Asymptote

A Horizontal asymptote is the asymptote value parallel to x-axis. Vertical asymptote is the asymptote value parallel to y-axis.

Asymptote Calculator is a online tool to calculates the Horizontal asymptote and vertical asymptotes. For the function entered it finds out both Horizontal and vertical asymptote and also plots graph of it.

## Asymptote Steps

Consider a equation of the form y = $\frac{ax^n + bx^{n-1} + c}{dx^p + ex^{p-1} + f}$

Where a, b, c, d, e, f are the given variables.

How to find the horizontal Asymptote:Three cases arises here:
• If the degree of numerator is greater than the denominator (n>p) there are no horizontal Asymptotes
• If the degree of numerator is lesser than the degree of denominator (n<p) the horizontal asymptote y = 0
• If the degree of numerator is equal to the degree of denominator (n=p) the horizontal asymptote is y = $\frac{a}{d}$.

How to find the vertical Asymptote :
Solve for x such that value of denominator be set equal to 0. If the value of denominator cannot be zero then that value itself will be the value of vertical asymptote.

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