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
111111-11111=


Test of homogeneity This is concerned along with the proposition that several populations are homogenous along with respect to some characteristic of interest for example; one

Estimate the area between f ( x ) =x 3 - 5x 2 + 6 x + 5 and the x-axis by using n = 5 subintervals & all three cases above for the heights of each of the rectangle. Solution

Do you provide the answers to the Famous Numbers Exercise?

#a grocer buys a box of 200oranges for $25 he sells them for 15c caluclate his percentage profit

what is the differeance in between determinate and matrix .

Solve cos( 4 θ ) = -1 . Solution There actually isn't too much to do along with this problem.  However, it is different from all the others done to this point.  All the oth

Objectives After studying this unit, you should be able to explain how mathematics is useful in our daily lives; explain the way mathematical concepts grow; iden

Comparison Test for Improper Integrals Here now that we've seen how to actually calculate improper integrals we should to address one more topic about them.  Frequently we ar