Explanation

To estimate limits from a graph:

1. Look at the value f(x) approaches as x → c from the left and right.

2. If both sides approach the same number, that’s the limit.

Example:

• f(x) → 3 as x → 2 from left and right → lim (x → 2) f(x) = 3

Quiz

1. What do you look at on a graph to find a limit?

2. If left-hand and right-hand limits differ, does the limit exist?

3. lim (x → 0) for f(x) approaching 2 from both sides = ?

4. Can limits be estimated without the exact function?

5. Are graphs always precise for limits?

Answer Key

1. Value f(x) approaches

2. No

3. 2

4. Yes

5. No