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Cauchy-Hadamard Theorem


The radius of convergence of the Taylor series

 a_0+a_1z+a_2z^2+...

is

 r=1/(lim_(n->infty)^_(|a_n|)^(1/n)).

See also

Radius of Convergence, Taylor Series

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Cite this as:

Weisstein, Eric W. "Cauchy-Hadamard Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Cauchy-HadamardTheorem.html

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