A series is convergent to a number x iff for ε>0, Ε a term of the series, y, such that |x-y| < ε.

Additionally, for a sufficiently large term of the series, y, and the previous term, z, |z-x|>|z-y| is satified

Con*ver"gent (?), a. [Cf. F. convergent.]

Tending to one point of focus; tending to approach each other; converging.

As many rays of light, as conveniently can be let in, and made convergent. Boyle.

The vast dome of its cathedral . . . directing its convergent curves to heaven. Hallam.

© Webster 1913.

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