3. Sequences and Limits

Convergence Definitions — Quiz

Test your understanding of convergence definitions with 5 practice questions.

Practice Questions

Question 1

What is the $$\varepsilon$-$N$ definition of the statement $$\lim_{n\to\infty} a_n = L$?

Question 2

What is $\lim_{n\to\infty} \frac{1}{n}$?

Question 3

Which statement is true about every convergent sequence?

Question 4

If $\lim_{n\to\infty} a_n = L$ and $\lim_{n\to\infty} a_n = M$, what must be true?

Question 5

Does the sequence $a_n = (-1)^n$ converge?