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NestWhile

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Applies a function repeatedly while a predicate holds.

NestWhile[f, expr, test]
NestWhile[f, expr, test, m]
NestWhile[f, expr, test, All]
NestWhile[f, expr, test, m, max]
NestWhile[f, expr, test, m, max, n]
NestWhile[f, expr, test, m, max, - n]
NestWhile[#/2 &, 8, EvenQ] → 1

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