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The phrase "in the limiting" is correct and can be used in written English.
It is generally used to indicate that something is true or valid under certain conditions or in certain circumstances, but may not be true in all situations. Example: In the limiting case of a perfectly smooth surface, the object will continue to slide indefinitely without any frictional force acting upon it.
Exact(60)
This situation results in the limiting of qualifications available to boys and a resultant limitation in accessible and acceptable occupations.
In the limiting state called saturation, the entire object will comprise a single domain.
The classical results are obtained in the limiting case.
For sensor, in the limiting case (i.e., ) then.
In the limiting cases we obtain two important converses.
In the limiting logarithmic method, two straight lines were obtained (Figure 5).
In the limiting case we have which is equal to (2.29).
Cancellation of the common terms in the above equation results in the limiting detector.
As expected, both policies agree in the limiting cases (LINC and balanced limits).
Such a construction can simplify the analysis in the limiting process.
At the same time, (1.22) is naturally concealed in the limiting process.
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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