if f is continuous in [ a b] ,f attains it's bounds

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f is continuous on a closed interval [a,b] , then it attains it's bounds at least once in [a,b] .

If f(x) is continuous in [a,b] then || f(x) is bounded in [a,b] | f(x) attains its bounds supremum..

Prove that, if a function is continuous in closed interval then it is also bounded and its attains

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If f is continuous on [a,b] then f attains its bounds atleast once in [a,b]

if f(x) is continous in [ab] then it is uniformly continous in [ab] 11 May 2022(3)

Continuous Functions are Riemann Integrable

Continuous implies Bounded