6:27 AM
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12:13 PM
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I was given a simple problem on uniform convergence of parametric integrals. The integral was $$I(a)=\int_0^{+\infty}\frac{\cos(x)}{x+a}dx, \qquad a>0$$ It seems like a straightforward application of the Abel-Dirichlet test. Just to be clear here is my argument. Set $f(x,a)=\cos(x)$, \$g(x,a)=\f...