Radius of convergence - sequences and series, Mathematics

Assignment Help:

Radius of Convergence

We will be capable to illustrate that there is a number R so that the power series will converge for, |x - a| < R and will diverge for |x - a| > R.  This number is known as the radius of convergence for the series. 

Note: The series may or may not converge if |x - a| = R.  What is going to occur at these points will not change the radius of convergence.


Related Discussions:- Radius of convergence - sequences and series

Trigonometry identity, if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx...

if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2

Monomial, express the area of a square with sides of length 5ab as monomial...

express the area of a square with sides of length 5ab as monomial

Objectives of why learn mathematics, Objectives After studying this uni...

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

Calculus, need someone to log into my hawkes and complete homework due

need someone to log into my hawkes and complete homework due

Evaluate limit in l''hospital''s rule form, Evaluate the below given limit....

Evaluate the below given limit. Solution Note as well that we actually do have to do the right-hand limit here. We know that the natural logarithm is just described fo

Classify quadrilaterals, which quadrilaterals have only 1 pair of parallel ...

which quadrilaterals have only 1 pair of parallel sides

The price of gasoline is $1.349 cents per gallon, The price of gasoline is ...

The price of gasoline is $1.349 cents per gallon. If the price increases through three tenths of a cent, what will the price of gasoline be? Three tenths of a cent can be writt

Solve simultaneous equations by graphical method, Solve the following pairs...

Solve the following pairs of simultaneous equations by elimination method i.2x+y=10 ii. 3x+y=6 3x-2y=1 5x+y=8 solve the following simult

How many different words can be formed out from varanasi, Determine how man...

Determine how many different words can be formed out of the letters of the word VARANASI? Ans: 720 different words can be formed out of the letters of the word VARANASI.

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