Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

Thread Subject:
Maclaurian Series in Matlab

Subject: Maclaurian Series in Matlab

From: TamuKevin

Date: 11 Apr, 2010 19:24:34

Message: 1 of 2

My problem says to find the Maclaurian series of "f" and its radius on convergence. Graph "f" and its first few Taylor Polynomials on the same screen.

f= sqrt(1 +x)

How do I find a mac series on Matlab? Thanks

Subject: Maclaurian Series in Matlab

From: Roger Stafford

Date: 12 Apr, 2010 00:30:22

Message: 2 of 2

TamuKevin <custom_audio_11@yahoo.com> wrote in message <222674914.546754.1271013904886.JavaMail.root@gallium.mathforum.org>...
> My problem says to find the Maclaurian series of "f" and its radius on convergence. Graph "f" and its first few Taylor Polynomials on the same screen.
>
> f= sqrt(1 +x)
>
> How do I find a mac series on Matlab? Thanks

  The Maclaurin series is just a Taylor series expanded about x = 0. Read the description of matlab's 'taylor' function in the symbolic toolbox very carefully and you can do everything asked of you quite easily, except possibly determine the radius of convergence. For that to be done rigorously you would need to have the general formula for the n-th coefficient of the series and some knowledge about power series convergence. This general formula can be obtained from the binomial theorem applied to fractional powers. Either that or know something about analytic (complex) function theory. It is this latter field which gives significance to the word 'radius' in "radius of convergence".

Roger Stafford

Tags for this Thread

No tags are associated with this thread.

What are tags?

A tag is like a keyword or category label associated with each thread. Tags make it easier for you to find threads of interest.

Anyone can tag a thread. Tags are public and visible to everyone.

Contact us