# How do you find the limits of Asymptotes?

**asymptote**at y = 0, and the

**limit**of g(x) is 0 as x approaches infinity. This is no coincidence.

**Limits**and

**asymptotes**are related by the rules shown in the image. Therefore, to find

**limits**using

**asymptotes**, we simply identify the

**asymptotes**of a function, and rewrite it as a

**limit**.

Just so, how do Asymptotes relate to limits?

1 Answer. **Asymptotes are** defined using **limits**. A line x=a is called a vertical **asymptote** of a function f(x) if at least one of the following **limits** hold. A line y=b is called a horizontal **asymptote** of f(x) if at least one of the following **limits** holds.

**limit**at infinity or negative infinity is the same as finding the location of the

**horizontal asymptote**. there's no

**horizontal asymptote**and the

**limit**of the function as x approaches infinity (or negative infinity)

**does**not exist.

Moreover, do limits exist at Asymptotes?

The vertical **asymptote** is a place where the function is undefined and the **limit** of the function **does** not **exist**. This is because as 1 approaches the **asymptote**, even small shifts in the x -value lead to arbitrarily large fluctuations in the value of the function.

**Asymptotes**. An **asymptote** is a line that a **graph** approaches without touching. If a **graph** has a horizontal **asymptote** of y = k, then part of the **graph** approaches the line y = k without touching it--y is almost equal to k, but y is never exactly equal to k.