# Questions on asymptotes

- Author:
- mathtasksproj

Using your knowledge of functions, limits and asymptotes, anwer the following questions. You can use the applet below to visualise functions and check your answers.

Give an example of a function with vertical asymptote at x=3

Give an example of a function f(x) with vertical asymptote at x=0, and exists

Let , give an example of a function with asymptotes at and .

Give a counter-example to the claim that trigonometric functions do not have vertical asymptotes.

Give a counter example to the claim that all functions only have horizontal asymptotes at y=0.