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

Pair of straight line, show that one of the straight lines given by ax2+2hx...

show that one of the straight lines given by ax2+2hxy+by2=o bisect an angle between the co ordinate axes, if (a+b)2=4h2

Differential equation of newton’s law of cooling , 1. A direction ?eld for...

1. A direction ?eld for a differential equation is shown. Draw, with a ruler, the graphs of the Euler approximations to the solution curve that passes through the origin. Use step

Determine the position and nature of stationary points, Question. Deter...

Question. Determine the position and nature of stationary points of the function? f(x,y)= y/x -x 2 +y 2

Hypothesis testing, Hypothesis Testing Definition of Hypothesis Testing...

Hypothesis Testing Definition of Hypothesis Testing - A hypothesis is a claim or an opinion about an issue or item.  Hence it has to be tested statistically in order to esta

How do children learn maths?, HOW DO CHILDREN LEARN? : Have you ever tried...

HOW DO CHILDREN LEARN? : Have you ever tried teaching a young child what "ball" means? Did you do it by a lot of verbal description" Or did you let the child actually handle a b

Determine the mass of the hemisphere, Question 1. Use cylindrical coordinat...

Question 1. Use cylindrical coordinates to nd the mass of the solid of density e z which lies in the closed region  Question 2. The density of a hemisphere of radius a (y 

Geometry, #question.prove that the diagonals of a trapezium divide each oth...

#question.prove that the diagonals of a trapezium divide each other proportionally .

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