Un (r)I g(r). In → 1 nniformly on every compact subinterval of (0,00), and g(x) dx < oo Prove that Un (r)I g(r). In → 1 nniformly on every compact subinterval of (0,00), and g(x) dx

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人3と . 迎) (c し3 tur 広『h this is special form of dominated convergence theorem.

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