Infinitesimals of a higher order and limit

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I read in Bartholomew Price book ("A treatise of infinitesimal calculus") that "the last term of which equality must be neglected, because it contains infinitesimals of a higher order than those of the preceding term".

In other words we can neglect the last term because limit of the last term is $0$ (when $n$ tends to infinity). Is it true?

Thanks.