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radius of convergence
(redirected from Convergence radius)

   Also found in: Wikipedia 0.04 sec.
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.


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