Question

求一道证明题过程求证当n→∞时, ∫(1,+∞)(sin nx)/(x^2)dx = 0.反常积分下限1,上限+∞,n>

Answer 1

证明中1/(x^2)可以改成f(x),只要f(x)在[0,+∞）上绝对可积.证明与f(x)=1/(x^2)时一样.