## uniform convergence

f(x) = int( [cos^2(xt)/ (1+x^2+t^2) ] ) from 0 to infinity.

a) show the integral converges uniformly for x on [0,infinity).

b)show that the integrand converges uniformly to its limit function for t in [0,infinity) as x approaches infinite and justify the following computation: limit as x goes to infinity = 0.