Mathematics, 07.12.2020 17:00, ashhuizing

A function is said to vanish to order at if the limit lim→()(−) exists (and is not infinite). The order of vanishing of a function quantifies the rate at which ()→0 as →; for example, if vanishes to order 3 at 2 then () approaches zero at least as quickly as does (−2)3 as →2.

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A function is said to vanish to order at if the limit lim→()(−) exists (and is not infinite). The or...