Limits by the conjugate Quiz
10 questions · easy to harder · Calculus · 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.
- 5 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 lim x->4 √x − 2x − 4- A) 14
- B) 1
- C) −14
- D) 0
2 Question 2
Find lim x->1 √x − 1x − 1Type the answer.
3 Question 3
Find lim x->16 4 − √xx − 16- A) −18
- B) 18
- C) 0
- D) 1
4 Question 4
Find lim x->9 x − 9√x − 3Type the answer.
5 Question 5
Find the limit as x -> 4 of (√(x + 5) − 3)/(x − 4).- A) 1
- B) 0
- C) −16
- D) 16
6 Question 6
Find lim x->0 (√(2x + 9) − 3)/xType the answer.
7 Question 7
Find lim x->0 x/(√(x + 4) − 2)- A) 4
- B) −4
- C) 1
- D) 0
8 Question 8
Find lim x->3 (√(3x + 7) − 4)/(x − 3)Type the answer.
9 Question 9
Find lim x->8 (√(x + 1) − 3)/(16 − 2x)- A) 1
- B) −112
- C) 0
- D) 112
10 Question 10
Find lim x->6 (x − 6)/(2 − √(x − 2))Type the answer.