12. Power Series

Representation Of Functions By Series — Quiz

Test your understanding of representation of functions by series with 5 practice questions.

Practice Questions

Question 1

Which power series represents $\frac{1}{1-x}$ for $|x|<1$?

Question 2

What function is represented by $\sum_{n=0}^{\infty} \frac{x^n}{n!}$?

Question 3

Which Maclaurin series represents $\sin x$?

Question 4

Which function has the Maclaurin series $1 - x + x^2 - x^3 + \cdots$ for $|x|<1$?

Question 5

What are the first three nonzero terms of the Maclaurin series for $\ln(1+x)$?