One-sided limits Quiz
9 questions · easy to harder · Calculus · score and step-by-step answers
How it works
- 9 questions, about 27 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 0 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
Solve f(x) = x + 1 for x < 2, 5 − x for x >= 2, limit as x -> 2Type the answer.
2 Question 2
Solve f(x) = x + 3 for x < 1, 2x + 2 for x >= 1, limit as x -> 1Type the answer.
3 Question 3
Solve f(x) = x2 for x < 2, x + 2 for x >= 2, limit as x -> 2Type the answer.
4 Question 4
Solve f(x) = x2 − 1 for x < 3, 2x + 2 for x >= 3, limit as x -> 3Type the answer.
5 Question 5
Solve f(x) = 4 − x for x < −1, x2 + 4 for x >= −1, limit as x -> −1Type the answer.
6 Question 6
Solve f(x) = 2x + 1 for x < 0, x2 + 1 for x >= 0, limit as x -> 0Type the answer.
7 Question 7
Solve f(x) = 6 − x for x <= 2, x2 for x > 2, limit as x -> 2Type the answer.
8 Question 8
Solve f(x) = x2 − 3 for x < −2, 2x + 5 for x >= −2, limit as x -> −2Type the answer.
9 Question 9
Solve f(x) = x2 + 2x for x < 1, 5 − 2x for x >= 1, limit as x -> 1Type the answer.