# Worksheet: Indeterminate Forms and L’Hôpital’s Rule

In this worksheet, we will practice applying L’Hôpital’s rule to evaluate the limits of the indeterminate forms 0.∞, 0^∞, 1^∞, 0^0, and ∞ - ∞.

**Q1: **

Use lβHΓ΄pital's rule to determine the limit of as .

**Q2: **

Given that and by writing as , use lβHΓ΄pital's rule to determine

**Q3: **

Use lβHΓ΄pital's rule to determine

**Q4: **

Use lβHΓ΄pital's rule to determine .

**Q5: **

Find .

- A0
- B
- C
- D

**Q6: **

Use LβHopitalβs rule to calculate the value of .

**Q7: **

What is the value of ?

- A2
- B
- C
- D1
- E0

**Q8: **

What is the value of ?

**Q9: **

Let and .

Which function increases faster (has a higher rate of increase) as approaches ?

- A
- B

Using that conclusion, what is the value of ?

- A
- B
- CIt does not exist.
- D1
- E0

**Q10: **

Use LβHopitalβs rule to calculate the value of .

- A
- B
- C
- D
- E1