f : X --> R

I proved: $\displaystyle \exists M\geq 0, \forall \epsilon>0, \forall x\in X, M-\epsilon < |f(x)|< M+\epsilon$

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- Oct 19th 2008, 06:53 AMszpengchaoi have proved this, does it imply boundedness?
f : X --> R

I proved: $\displaystyle \exists M\geq 0, \forall \epsilon>0, \forall x\in X, M-\epsilon < |f(x)|< M+\epsilon$ - Oct 19th 2008, 07:59 AMThePerfectHacker
- Oct 19th 2008, 09:26 AMPlato