3. Suppose that f, fk : R -+ [0,00) are continuous. Prove that if f(x) -+ 0...

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3. Suppose that

f, fk : R -+ [0,00) are continuous. Prove that if f(x) -+ 0 as x -+ ±oo and Ik i f everywhere on R, then fk -+ f uniformly on R.

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