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

Calculate maximum area of the triangle, if the sum of lengths of hypotenuse...

if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3

Test of hypothesis about the population mean, Test of hypothesis about the ...

Test of hypothesis about the population mean When the population standard deviation (S) is identified then the t statistic is defined as             t = ¦(x¯ - µ)/ S x¯ ¦

Differential Equations, Verify Liouville''''s formula for y "-y" - y'''' + ...

Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?

Find the shortest length of wire needed, A 125-foot tower is located on the...

A 125-foot tower is located on the side of a mountain that is inclined at 32° to the horizontal. A guy wire is to be fitted to the top of the tower and anchored at a point 55 feet

Integration, It is known that a radioactive material decays at a rate propo...

It is known that a radioactive material decays at a rate proportional to the amount present.If after a period of 12 years,a 2g piece of radium weighs 1.99g.How long will it be befo

Inequation, Solve the inequation: |x|

Solve the inequation: |x|

Maths question, if the numerator of a fraction is decreased by 40% and the ...

if the numerator of a fraction is decreased by 40% and the denominator is increased by 100% the new value is 1. what was the original factor

Determine solutions to the given equation or inequality, Illustrates that t...

Illustrates that the following numbers aren't solutions to the given equation or inequality. y = -2 in 3( y + 1) = 4 y - 5 Solution In this case in essence we do the sam

What is dividing fractions, What is Dividing Fractions? If you want to ...

What is Dividing Fractions? If you want to divide two fractions, you invert the second fraction (that is, turn it upside-down) and change the division sign to a multiplication

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