1. The problem statement, all variables and given/known data This is the improper integral of which I have to study the convergence. ∫[1,+∞] sinx/x2 dx 3. The attempt at a solution I have tried to use the absolute convergence. ∫f(x)dx converges ⇔ ∫|f(x)|dx converges but after i have observed that x^2 is always positive and the absolute value is only for the sinx, I do not how to move! How to see the convergence or the divergence of sinx when you can not to approximate to x for x->0? Thank you for the help!!