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Homework Statement Let f be continuous on the interval [0,inf] with abs(f(x)) < M, set F(u) = \int \frac{u*f(x)}{u^2 + x^2} integral from 0 to inf (bad with latex) prove that lim F(u) as u --> 0 = f(0)Homework Equations noneThe Attempt at a Solution I split the integral into the intervals...