Limits of sequences Quiz
10 questions · easy to harder · Calculus 2 · 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.
- 10 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 of the sequence a_n = 5n2.- A) Converges
- B) Diverges
2 Question 2
Find the limit of the sequence a_n = (12)n.- A) Converges
- B) Diverges
3 Question 3
Find the limit of the sequence a_n = 7/n.- A) Converges
- B) Diverges
4 Question 4
Find the limit of the sequence a_n = n + 52n.- A) Converges
- B) Diverges
5 Question 5
Find the limit of the sequence a_n = 2n2 − 1n2 + 3.- A) Converges
- B) Diverges
6 Question 6
Find the limit of the sequence a_n = n/(n2 + 4).- A) Converges
- B) Diverges
7 Question 7
Find the limit of the sequence a_n = (−1)n.- A) Converges
- B) Diverges
8 Question 8
Find the limit of the sequence a_n = 5n2 + n3 − 2n2.- A) Converges
- B) Diverges
9 Question 9
Find the limit of the sequence a_n = (−1)n n/(n + 1).- A) Converges
- B) Diverges
10 Question 10
Find the limit of the sequence a_n = n3 − 2n4n3 + 1.- A) Converges
- B) Diverges