Purchase Solution

Advanced Calculus: series of functions

Not what you're looking for?

Ask Custom Question

Show that the given series of functions converges uniformly on the given set D.

series n=1 to infinity (-1)^(n-1)* x^n = x- x^2+ x^3 - x^4+.......D=[-1/2, 1/2]

(Do not rely on a general fact about power series.)

Purchase this Solution
Solution Summary

Showing that an alternating power series of functions converges uniformly on the given set D.

Solution provided by:
Chris Busu, PhD (IP)
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
Recent Feedback
  • "Thank you "
  • "Thank You Chris this draft really helped me understand correlation."
  • "Thanks for the prompt return. Going into the last meeting tonight before submission. "
  • "Thank you for your promptness and great work. This will serve as a great guideline to assist with the completion of our project."
  • "Thanks for the product. It is an excellent guideline for the group. "
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

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.

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.

Solving quadratic inequalities

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

View More Free Quizzes
Related BrainMass Solutions

  • Convergence, Tests

    Check out: http://www.math.hmc.edu/calculus/tutorials/convergence/ http://www.math.hmc.edu/calculus/tutorials/convergence/convergence.pdf Convergence Tests are investigated. The expert determines if formula functions converges or diverges.

  • Need Assistance Understanding Taylor and Maclaurin Series

    I am really finding it difficult to grasp the concept of the Taylor and Maclaurin series. Specifically, I need your help in understanding: 1. The representation of functions by power series. 2. Finding the power series by integration. 3.

  • Advanced Calculus : Differential Equations, Vectors, Lagrange Multiplier's, Triple Integration and Green's Theorem

    Advanced calculus problems are solved.

  • Algebra: Convergence of Series

    39365 Convergence of series Please help with the following problem. This problem is from Advanced Calculus II class. It is also an introduction to real analysis.

  • Complex Function Calculus

    We can write (1.4) The function is analytic everywhere in the domain while the function is also analytic everywhere but it equals zero at hence the function has poles at The Taylor series of the trigonometric functions around functions

  • Sequences : Limits and Convergence

    39356 Sequences : Limits and Convergence This question is from Advanced Calculus II class, it is more like introduction to real analysis. Let f_n: R -> R be the sequence of functions given by f_n(x) = x/ ( 1 + nx^2) a).

  • Advanced Calculus : Line and Surface Integrals

    Line and surface integrals in the advanced calculus problems are investigated and discussed.

  • Calculus Problems: Geometric Series and Limits

    192323 Calculus Problems: Geometric Series and Limits Geometric series and limits. Please see attached. Please see the attached for details. The solution assists with solving the calculus problems regarding geometric series and limits.

  • Divergence and Convergence

    (Calculus I techniques, take first derivative) 4) Use integral test to prove series converges or diverges. ** Please see the attached file for the complete solution response ** This provides examples of using integral tests to find divergence or

View More Related Solutions