Browsed by
Category: Radius of Convergence

How to find the radius of convergence

How to find the radius of convergence

Input
convergence conditions | sum_n^infinity x^n
Interval of convergence
{x: abs(x)<1}
Inequality plot
| | abs(x)
| 1
Alternate form assuming x is positive
x<1
Alternate form assuming x is real
sqrt(x^2)<1
Solution
-1
Integer solution
x = 0
How to find radius of convergence

How to find radius of convergence

Input
convergence conditions | sum_n^infinity x^n
Interval of convergence
{x: abs(x)<1}
Inequality plot
| | abs(x)
| 1
Alternate form assuming x is positive
x<1
Alternate form assuming x is real
sqrt(x^2)<1
Solution
-1
Integer solution
x = 0
Find the radius of convergence

Find the radius of convergence

Input
convergence conditions | sum_n^infinity x^n
Interval of convergence
{x: abs(x)<1}
Inequality plot
| | abs(x)
| 1
Alternate form assuming x is positive
x<1
Alternate form assuming x is real
sqrt(x^2)<1
Solution
-1
Integer solution
x = 0