# Questions on limits and continuity

- Author:
- mathtasksproj

- Topic:
- Continuity, Limits

Using your knowledge of limits of functions and continuity, answer the questions below. you can use the applet to enter functions and check if they have the desired properties.

Give an example of a continous function that is not a polynomial.

Give an example of a function that is 1-1 and continuous.

Give an example of a function that is not continuous at x=0 because f(0) does not exist.

Give an example of a function that is continuous everywhere except at x=4

Give a counter example to the claim that if the function f must be discontinous.

Find an example of a function g with