Maclaurin series - sequences and series, Mathematics

Maclaurin Series

2336_Maclaurin Series - Sequences and Series 1.png

Before working any illustrations of Taylor Series the first requirement is to address the assumption that a Taylor Series will in fact exist for a specified function.  Let us start out with a few notation and definitions that we'll require.

To find out a condition that must be true in order for a Taylor series to exist for a function let's first describe the nth degree Taylor polynomial of f (x) as,

506_Maclaurin Series - Sequences and Series 2.png.

Note: This actually is a polynomial of degree at most n!  If we were to write out the sum with no the summation notation this would obviously be an nth degree polynomial.

Posted Date: 4/12/2013 5:25:21 AM | Location : United States







Related Discussions:- Maclaurin series - sequences and series, Assignment Help, Ask Question on Maclaurin series - sequences and series, Get Answer, Expert's Help, Maclaurin series - sequences and series Discussions

Write discussion on Maclaurin series - sequences and series
Your posts are moderated
Related Questions

The perimeter of Andrew''s rectangular room is 44 feet. What equation was used to find the perimeter?

Time Series and Analysis It is the statistical or mathematical analysis on past data arranged in a periodic sequence. Decision making and planning in an organization includes


Use the graph of y = x2 - 6x  to answer the following: a)         Without solving the equation (or factoring), determine the solutions to the equation  x 2 - 6x = 0  usi

altitude 35000 @ 9:30 9;42 alt 17500 increase speed by factor of 3 level out at 2500= how much time will it take

Derivative for Parametric Equations dx/dy = (dx/dt) / (dy/dt) ,         given dy/dt ≠ 0 Why would we wish to do this? Well, remind that in the arc length section of the Appl


recomendation to a company to implement ERP to succeed