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The phrase "in the limit" is correct and can be used in written English.
You can use this phrase when referring to the maximum limit of something, the outermost boundary, or the maximum desired result. For example, "We must stay in the limit of our budget or we will be unable to complete the project".
Exact(59)
"The change in the limit just did not take priority at the time," Mr. Weiland says.
The loser would be the person who put in the limit order that was traded through, he said.
In the Angus Reid poll 35% of men supported a reduction in the limit, 59% of women did.
The rise in the limit was the largest annual increase since at least 1990, when the cap was $187,450.
To me, the fun was in the limit.
Then, in the limit, can be computed as (D6).
Moreover, it approaches the Weibull in the limit.
Thus, our result is valid in the limit | λ | ≪ 1.
Equations (4.7) hold in the limit (qrightarrow-1).
we obtain in the limit of large times (63).
The classical asymptotic solution is obtained in the limit only.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com