In this worksheet, we will practice evaluating one-sided limits graphically and algebraically.

**Q1: **

Determine .

**Q2: **

Find , if it exists.

**Q3: **

Find .

- A9
- B
- C0
- D

**Q4: **

Determine and , given that

- A ,
- B ,
- C does not exist,does not exist
- D , does not exist

**Q5: **

Find given

- A
- B
- C
- D
- E9

**Q6: **

Find given

- A
- B15
- C
- D

**Q7: **

Discuss the existence of given

- A exists and equals 5.
- B exists and equals .
- C does not exist because is undefined.
- D exists and equals 2.

**Q8: **

Given , find .

**Q9: **

Determine the following infinite limit: .

- A0
- B
- C5
- D

**Q10: **

Determine the following infinite limit: .

- A0
- B
- C
- D
- E

**Q11: **

Determine and , given that

- A ,
- B , does not exist
- C does not exist,does not exist
- D ,

**Q12: **

Determine , if it exists.

- A2
- B
- C0
- DThe limit does not exist.

**Q13: **

Use the graph below to find .

- A3
- B8
- C4
- DThe limit does not exist.

**Q14: **

Use the graph below to find .

**Q15: **

Determine , if it exists.

**Q16: **

Determine , if it exists.

**Q17: **

Determine .

**Q18: **

Determine .

**Q19: **

Determine .