Purchase Solution

# Interval of convergence

Not what you're looking for?

I am trying to find the interval of convergence for the attached power series (attached as a gif). I am also supposed to check the endpoints for convergence. I'm not that good with power series and the format of this power series is really throwing me off. So I am looking for the steps to find the interval of convergence (also checking the end points).

##### Solution Summary

This provides the steps to find the interval of convergence (also checking the end points).

##### Solution Preview

An automatic response to a power series of this type is to use the ratio test. In the ratio test, you want to look at the limit as n goes to infinity of the absolute value of a_n+1 / a_n:
lim |a_n+1|
n->inf --------
| ...

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Probability Quiz

Some questions on probability