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What is an example of a function that is continuous and bounded on the interval a b but does not attain its upper bound?
Adomonster
A function whose upper bound would have attained its upper limit at a bound.
For example, f(x) = x - a whose domain is a < x < b
The upper bound is upper bound is b - a but, because x < b, the bound is never actually attained.
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∙ 10y ago
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