8. Midterm 1 and Taylor Series

Power Series Representations — Quiz

Test your understanding of power series representations with 5 practice questions.

Practice Questions

Question 1

Which expression is the standard form of a power series centered at $z_0$?

Question 2

For $|z|<1$, which power series equals $\frac{1}{1-z}$?

Question 3

What is the radius of convergence of $\sum_{n=0}^{\infty} \frac{z^n}{n!}$?

Question 4

What is the radius of convergence of $\sum_{n=1}^{\infty} n z^n$?

Question 5

In the Maclaurin series for $e^z$, what is the coefficient of $z^2$?