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Radius of convergence
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Everything about Radius Of Convergence totally explained

In mathematics, the radius of convergence of a power series is a non-negative quantity, either a real number or scriptstyle infty, that represents a range (within the radius) in which the function will converge.

Definition

For a power series f defined as:
» f(z) = sum_.

Such a series converges if the real part of s is less than a particular number depending on the coefficients an: the abscissa of convergence.

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