What is another word for upper limit?

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Noun
Find the supremum of each of these subsequences, then find the infimum of all of these supremums
“This may be advisable if you are likely to be carried away by the proceedings and bid over your upper limit.”
Noun
The best condition or degree
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Noun
The greatest amount, extent, or intensity possible, permitted, or recorded
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Noun
An upper limit set on prices, wages, or expenditure
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