# Real Analysis : Power Series - Expansion and Interval of Convergence

Not what you're looking for?

Let ...

a) Show that f can be represented by a power series. What is its interval of convergence?

b) Calculate the power series expansion for the function F(x) = ...

Please see attached for equations.

##### Purchase this Solution

##### Solution Summary

Power Series are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.

##### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

(a) Since ，which is a power series, then

if , therefore

f(x)= , since if x=0, f(0)=1, and if , f(x) ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Probability Quiz

Some questions on probability

##### Graphs and Functions

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

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Multiplying Complex Numbers

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