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3. Sequences and Limits

Basic Limit Laws — Quiz

Test your understanding of basic limit laws with 5 practice questions.

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Practice Questions

Question 1

Suppose $\lim_{n\to\infty} a_n = 3$ and $\lim_{n\to\infty} b_n = 5$. What is $\lim_{n\to\infty} (a_n+b_n)$?

Question 2

Suppose $\lim_{n\to\infty} a_n = -2$. What is $\lim_{n\to\infty} (4a_n)$?

Question 3

Suppose $\lim_{n\to\infty} a_n = 7$ and $\lim_{n\to\infty} b_n = 1$. What is $\lim_{n\to\infty} (a_n-b_n)$?

Question 4

Suppose $\lim_{n\to\infty} a_n = 2$ and $\lim_{n\to\infty} b_n = 3$. What is $\lim_{n\to\infty} (a_n b_n)$?

Question 5

Suppose $\lim_{n\to\infty} a_n = 12$ and $\lim_{n\to\infty} b_n = 4$. What is $\lim_{n\to\infty} \left(\frac{a_n}{b_n}\right)$?