Explanation

A limit describes the value a function approaches as x gets close to a certain point.

Notation:
lim (x → c) f(x) = L

• c = the x-value we are approaching

• L = value f(x) approaches

Example:
lim (x → 2) (3x + 1) = 3(2) + 1 = 7

Limits are important when functions are not defined at a point or when studying calculus.

Quiz

1. What does a limit describe?

2. Write the limit notation for f(x) approaching 5 as x approaches 2.

3. What is lim (x → 3) (2x + 4)?

4. Can a limit exist even if f(c) is undefined?

5. What symbol represents a limit?

Answer Key

1. The value a function approaches

2. lim (x → 2) f(x) = 5

3. 2(3) + 4 = 10

4. Yes

5. lim