# How do you find Asymptotes in calculus?

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A function f(x) will have the horizontal

**asymptote**y=L if either limx→∞f(x)=L or limx→−∞f(x)=L. Therefore, to find horizontal**asymptotes**, we simply evaluate the limit of the function as it approaches infinity, and again as it approaches negative infinity.

Also, how do you find Asymptotes?

**The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator.**

- Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0.
- Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote.

**asymptote**is a line to which the curve of the function approaches at infinity or at certain points of discontinuity.

One may also ask, how do you find vertical asymptotes in calculus?

In this example, there is a **vertical asymptote** at x = 3 and a horizontal **asymptote** at y = 1. The curves approach these **asymptotes** but never cross them. To **find the vertical asymptote**(s) of a rational function, simply set the denominator equal to 0 and solve for x.

mpto?t/) of a **curve** is a line such that the distance between the **curve** and the line approaches zero as one or both of the x or y coordinates tends to infinity. Vertical **asymptotes** are vertical lines near which the function grows without bound.