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The phrase "the upper limit" is correct and commonly used in written English
It refers to the highest or maximum amount or level of something. Example: The upper limit for this credit card is $10,000. (This means that the maximum amount the cardholder can charge on the card is $10,000.) Another example: There is an upper limit for the number of people allowed in the room due to COVID-19 restrictions. (This means that there is a maximum number of people that can safely be in the room at one time.)
Exact(58)
The upper limit depends on the number of children.
The upper limit on engines was defined by the diameter of the fan blade.
The upper limit can be determined from separation performance.
The upper limit of the frequency range is 4 kHz.
The upper limit was evaluated to be 8000 g/mol.
The upper limit of the higher SPP zone is ωSC2.
The upper limit of the volume in section b, m3.
The upper limit, they found, was no more than 27%.
The upper limit, or daily maximum for zinc is 40 mg per day.
The upper limit for what's possible in crowd funding has not yet been discovered.
The upper limit for this range is 20 mg, but that can be too much for some people, especially rookies.
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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