Radius of Convergence
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radius of convergence [′rād·ē·əs əv kən′vər·jəns]

(mathematics)

The positive real number corresponding to a power series expansion about some numberawith the property that ifx-ahas absolute value less than this number the power series converges atx, and ifx-ahas absolute value greater than this number the power series diverges atx.

Radius of Convergence

The radius of convergence of a power series is the radius of the circle of convergence. In other words, it is the number r such that the power series

converges when ǀzǀ > r and diverges when ǀzǀ > r.

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Radius of Convergence (redirected from Convergence radius)

Radius of Convergence
(redirected from Convergence radius)