Power series - sequences and series, Mathematics

Assignment Help:

Power Series

We have spent quite a bit of time talking about series now and along with just only a couple of exceptions we've spent most of that time talking about how to find out if a series will converge or not.  It is now time to start looking at some particular types of series and we'll eventually reach the point in which we can talk about a couple of applications of series.

 In this part we are going to start talking regarding power series.  A power series regarding to a, or just power series, is any type of series that can be written in the form, in which a and cn are numbers.  The cn's are frequently called the coefficients of the series.  The 1st thing to notice about a power series is that it is a function of x.  That is dissimilar from any other kind of series that we have looked at to this point.  In all the prior segments we've only allowed numbers in the series and now we are permit variables to be in the series also.  Though, this will not alter how things work.  All that we know about series still holds. 

In the conversation of power series convergence is still a main question that we'll be dealing with. The variation is that the convergence of the series will now relies on the values of x that we put into the series. A power series might converge for some values of x and not for another value of x.  Before we get too far into power series there is some terminology that we need to get out of the way.


Related Discussions:- Power series - sequences and series

High dimensions, List the five most important things you learned about high...

List the five most important things you learned about high dimensions.

Find the initial number of balls, Balls are arranged in rows to form an equ...

Balls are arranged in rows to form an equilateral triangle .The first row consists of one ball, the second two balls and so on.   If 669 more balls are added, then all the balls ca

Calculus, how to find relative extrema at the indicated interval of the fol...

how to find relative extrema at the indicated interval of the following functions and how to sketch it?

first person drawn was named the class president, Consider a class of 55 s...

Consider a class of 55 students. The student names are placed in a hat & 3 names are randomly drawn without replacement. a)     If the first person drawn was named the class presi

Times tables, how can you memorise you times facts

how can you memorise you times facts

Find the z-score, For a population with a mean of μ=80 and a standard devia...

For a population with a mean of μ=80 and a standard deviation of o=12, find the z-score corresponding to each of the following samples. a.    M=83 for a sample of n=4 scores b.

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