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

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