Purchase Solution

Power Series Representation

Not what you're looking for?

Ask Custom Question

I am trying to figure out a powers series representation for the function f(x) = e^x, centered at c = -2.

I also need to find the interval of convergence.

Purchase this Solution
Solution Summary

A power series is found, as well as an interval of convergence.

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

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

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.

Graphs and Functions

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

Exponential Expressions

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

View More Free Quizzes
Related BrainMass Solutions

  • Maclaurin series

    281586 Maclaurin series definition for series representation 1. Find the maclaurin series for f(x) = e^(3x) using the definition of the Maclaurin series. Assume that f has a power series representation.

  • Power Series Representation

    284523 Power Series Representation.. (a) Find a power series representation for f(x) = ln(1+x). What is the radius of convergence? (b) Use part (a) to find a power series for f(x) = x ln(1+x).

  • Power series representation

    This shows how to perform complex integration using power series representation.

  • Power series

    177542 Function as Power Series Find a power series representation for the function and determine the interval of convergence. f(x)= 3/(1-x^4) Please show steps. Please see the attachment.

  • power series representations

    Please use basic definitions and power series representation of analytic functions to do so. b). integral over gamma of sin(z)/z^3 dz ( same gamma and values of t as above) Please see the attached file.

  • Power Series, Maclaurin Series, Remainder Estimation Theorem and Euler's Formula

    Series ________________________________________ 1.) Given that 1-x+x^2+...+(-x)^n is a power series representation for 1/(1+x), find a power series representation for (x^3)/(1+x^2). Solution.

  • Find a power series representation for the function and find the radius of convergence.

    A power series representation for a function and its radius of convergence are found. The solution is detailed and well presented.

  • Power Series Representation

    322701 Power Series Representation for the Function Find a power series representation for the function and determine the interval of convergence: F(x) = (1 + x) / (1 - x) __________________________________ (1 + x) times the sum from n=0 to

  • Power and Maclaurin Series

    183060 Power and Maclaurin Series Find a power series representation for the function f(x) = 1/x^4 + 1 and determine the interval of convergence. Use a known Maclaurin series to derive the Maclaurin series of the function g(x) = e^-x/x.

View More Related Solutions