Let E R and suppose that f, fk: R R are bounded functions. Prove that

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Let E Š‚ R and suppose that f, fk: R †’ R are bounded functions. Prove that if ˆ‘ˆžk=0 fk(x) converges to f(x) uniformly on E, then
Let E Š‚ R and suppose that f, fk: R

converges to f(x) uniformly on E as N †’ ˆž.

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