**1. What is a limit?**

The limit of a function f(x) as x approaches a number is the value the function gets nearer to, as x gets nearer to the number. Simple, eh?

**2. Why do we need to study limits?**

The gradient function, one of the important functions in calculus, involves taking limits.

Without limits you would not be able to differentiate!

**3. How can you tell if a function is continuous at a certain point?**

The simple test is to trace over a graph with a pencil. The function will be continuous for all values of x if you do not have to remove the pencil from the paper.

Points of

discontinuityinclude asymptotes and "holes".