Wednesday, 30 August 2017

Real analysis Limits and continuous functions

Suppose that f:RR is continuous on R and that limxf(x)=limx+f(x)=k

Prove that f is bounded and if there exist a point x0R such that f(x0)>k, then f attains a maximum value on R.



Edit by non OP. The OP seems to be a new user that posted the same question twice in less than 2 hours, both on MSE.
Real analysis continuous functions

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