I am stuck in proving that $$\sup_P L(P,f+g) = \sup_P L(P,f) + \sup_P L(P,g)$$.
where $f$ and $g$ are Riemann integrable. How to do ?
I am stuck in proving that $$\sup_P L(P,f+g) = \sup_P L(P,f) + \sup_P L(P,g)$$.
where $f$ and $g$ are Riemann integrable. How to do ?
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