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Discover LudwigSuggestions(5)
The phrase "taking the limit" is correct and can be used in written English.
You can use it when talking about a boundary or restriction, or when referring to the process of finding an answer as it approaches a certain value. For example, "We took the limit as x approached infinity to find the answer."
Exact(60)
Taking the limit as h tends to zero, the result follows.
Taking the limit as yields that (3.4).
By taking the limit, we have (3.9).
Taking the limit as, it follows that.
Taking the limit as, we find that.
Taking the limit as, we get.
By taking the limit as, we have.
Taking the limit as, we see that.
By taking the limit as, we get, and so (3.7).
Taking the limit as in (2.38), we obtain that (2.39).
Taking the limit as n → ∞ in (3.8), we obtain that.
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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