# fundamental sequence

### noun Mathematics.

an infinite sequence, x1, x2, …, whose terms are points in Ek, in which there exists a point y such that the limit as n goes to infinity of xn = y if and only if for every ε>0, there exists a number N such that i >N and j >N implies |xi −xj |< ε.Also called Cauchy sequence, convergent sequence.Compare complete(def 10b).

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## Nearby words

- fundamental force,
- fundamental frequency,
- fundamental interaction,
- fundamental law,
- fundamental particle,
- fundamental star,
- fundamentalism,
- fundamentalist,
- fundamentally,
- fundamentals

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019