L'Hôpital's rule Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-1/l-h-pital-s-rule/quiz/

1. 1

   Find the limit as x -> 0 of sin(x)/x.
   1. A) 0
   2. B) −1
   3. C) 1

2. 2

   Find the limit as x -> 0 of (e^x − 1)/x.

   Answer: ____________________

3. 3

   Find the limit as x -> 1 of lnxx − 1.
   1. A) −1
   2. B) 0
   3. C) 1

4. 4

   Find the limit as x -> 2 of x³ − 8x − 2 using L'Hôpital's rule.

   Answer: ____________________

5. 5

   Find the limit as x -> 0 of sin(5x)/sin(2x).
   1. A) 52
   2. B) 0
   3. C) −2.5

6. 6

   Find the limit as x -> 1 of x⁴ − 1x² − 1 using L'Hôpital's rule.

   Answer: ____________________

7. 7

   Find the limit as x -> infinity of ln(x)/x.

   Answer: ____________________

8. 8

   Find the limit as x -> 1 of x² + 53x + 4 using L'Hôpital's rule.

   Answer: ____________________

9. 9

   Find the limit as x -> 0 of (1 − cos(x))/x^2.
   1. A) 0
   2. B) −0.5
   3. C) 12

10. 10

    Find the limit as x -> 0 of (1 − cos(2x))/x^2.

    Answer: ____________________