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...