L'Hôpital's rule Quiz
10 questions · easy to harder · Calculus 1 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 4 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Find the limit as x -> 0 of sin(x)/x.- A) 0
- B) −1
- C) 1
2 Question 2
Find the limit as x -> 0 of (ex − 1)/x.Type the answer.
3 Question 3
Find the limit as x -> 1 of lnxx − 1.- A) −1
- B) 0
- C) 1
4 Question 4
Find the limit as x -> 2 of x3 − 8x − 2 using L'Hôpital's rule.Type the answer.
5 Question 5
Find the limit as x -> 0 of sin(5x)/sin(2x).- A) 52
- B) 0
- C) −2.5
6 Question 6
Find the limit as x -> 1 of x4 − 1x2 − 1 using L'Hôpital's rule.Type the answer.
7 Question 7
Find the limit as x -> infinity of ln(x)/x.Type the answer.
8 Question 8
Find the limit as x -> 1 of x2 + 53x + 4 using L'Hôpital's rule.Type the answer.
9 Question 9
Find the limit as x -> 0 of (1 − cos(x))/x2.- A) 0
- B) −0.5
- C) 12
10 Question 10
Find the limit as x -> 0 of (1 − cos(2x))/x2.Type the answer.