Maclaurin series - sequences and series, Mathematics

Assignment Help:

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.


Related Discussions:- Maclaurin series - sequences and series

Interval of convergence - sequences and series, Interval of Convergence ...

Interval of Convergence After that secondly, the interval of all x's, involving the endpoints if need be, for which the power series converges is termed as the interval of conv

Marketing research, In pharmaceutical product research doctors visit the pl...

In pharmaceutical product research doctors visit the place to learn what

What is the net surface area to be painted, You are painting the surface of...

You are painting the surface of a silo that has a diameter of 16 ft and height of 50 ft. What is the net surface area to be painted? Consider the top of the silo is  1/2 a sphere

The value of m+n, Every point (x,y) on the curve y=log2 3x is transferred t...

Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve

Probability that a leap year will have 53 sunday?explain, A leap year has 3...

A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days. The remaining 2 days may be any of the following : (i) Sunday and Monday (ii) Monday and Tuesday (iii)

Sketch the parametric curve for parametric equations, Sketch (draw) the par...

Sketch (draw) the parametric curve for the subsequent set of parametric equations. x = t 2 + t y = 2t -1 Solution At this point our simply option for sketching a par

Logarithm, The function A(t) = 5(0.7)^t was used to define the amount A in ...

The function A(t) = 5(0.7)^t was used to define the amount A in milliliters of a drug in the bloodstream t hours after the drug was ingested. Determine algebraically the time it wi

find the present age, 5 years however, a man's age will be 3times his son'...

5 years however, a man's age will be 3times his son's age and 5 years ago, he was 7 times as old as his son.    Find their present ages.

Elementary row operations, Anne, Betty and Carol went to their local produc...

Anne, Betty and Carol went to their local produce store to buy some fruit. Anne bought one pound of apples and two pounds of bananas and paid $2.11. Betty bought two pounds of appl

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd