# Worksheet: Limits from Tables and Graphs

In this worksheet, we will practice evaluating the limit of a function using tables and graphs.

**Q1: **

Estimate numerically, given that .

4.9 | 4.99 | 4.999 | 5 | 5.001 | 5.01 | 5.1 | |||

9.8 | 9.98 | 9.998 | 10.002 | 10.02 | 10.2 |

**Q3: **

Determine , if it exists, by evaluating the function at the following values of : , , , , , , , , , , , and , rounding the result to the nearest six decimal places.

- A
- BThe limit does not exist.
- C
- D0

**Q4: **

Determine the limit as of the function represented by the graph.

**Q5: **

Determine the limit as of the function represented by the graph.

**Q8: **

Determine the limit of the function as .

**Q9: **

Determine the limit of the function as .

**Q10: **

Using the graph representing the function , determine .

**Q11: **

Determine the limit as of the function represented by the graph.

**Q12: **

Determine the limit of the function as .

**Q13: **

If the following graph represents the function , determine .

**Q15: **

Determine .

- A8
- B3
- C0
- DThe limit does not exist.

**Q16: **

Find to 4 decimal places by considering at . What is the first that you can use?

- A
- B
- C
- D
- E

**Q17: **

Determine the limit of the function as .

**Q18: **

Determine the limit of the function as , if it exists.

**Q19: **

Determine using the graph below.

**Q20: **

Find if it exists.

- A5
- B
- CThe limit does not exist.
- D1

**Q22: **

Using the following figure, determine the limit of the function as .

**Q23: **

Determine , if it exists.