12. Power Series

Interval And Radius Of Convergence — Quiz

Test your understanding of interval and radius of convergence with 5 practice questions.

Practice Questions

Question 1

Which statement best describes the interval of convergence of a power series?

Question 2

For the power series $\sum_{n=0}^{\infty} x^n$, what is the radius of convergence?

Question 3

For the power series $\sum_{n=1}^{\infty} \frac{(x-1)^n}{n}$, what is the interval of convergence?

Question 4

If a power series converges whenever $|x+4|<2$, what is its radius of convergence?

Question 5

For the power series $\sum_{n=0}^{\infty} \frac{(x+1)^n}{n!}$, what is the interval of convergence?