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

Operation research, difference between scope and application of operation r...

difference between scope and application of operation research

Example of substitution method of linear equations, Describe some Example o...

Describe some Example of substitution method of Linear Equations with solution.

How to multiplying monomials, How to Multiplying Monomials? To multiply...

How to Multiplying Monomials? To multiply monomials: Step 1: Multiply the coefficients. Step 2: Multiply the like variables by adding their exponents. Step 3: Multiply ans

Pie chart, i have this data 48 degree, 72 degree, 43.2degree, 24degree , 40...

i have this data 48 degree, 72 degree, 43.2degree, 24degree , 40.8degree on this make a pie chart

How many baseball cards does peter now have, Peter purchased 14 latest base...

Peter purchased 14 latest baseball cards for his collection. This increased the size of his collection through 35%. How many baseball cards does Peter now have? First, you must

Geometry help, One of two complementary angles is 80& of the other. What is...

One of two complementary angles is 80& of the other. What is the degree measure of the smaller angle?

Completely factored polynomial, Factoring polynomials Factoring polynom...

Factoring polynomials Factoring polynomials is done in pretty much the similar manner.  We determine all of the terms which were multiplied together to obtain the given polynom

Find the number of vertices in graph, A graph G has 21 Edges, 3 vertices of...

A graph G has 21 Edges, 3 vertices of degree 4 and other vertices are of degree 3. Find the number of vertices in G.   Ans: It is specified that graph G has 21 edges, so total

Create a guessing game for children to teaching maths, E1) Create a guessin...

E1) Create a guessing game for children of Class 2, to familiarise them with the concept of a time interval E2) How could you use group dancing to teach concepts of geometry? Th

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