[题目]设n,k为正整数,且 https:/img.zuoyebang.cc/zyb_b8e3422e2abb98a671ce682ddd3d5d64.jpgleqslant kleqslant n-|||-(1)证明: dfrac (2)(n)ln (1+dfrac (k-1)(n)pi )leqslant (int )_(dfrac {b-1)(n)pi }^dfrac (kpi {n)}|sin (x+dfrac (pi )(2));-|||-(1+x)dxleqslant dfrac (2)(n)ln (1+dfrac (kpi )(n))-|||-(2)求 lim _(narrow infty )(int )_(0)^pi |sin nx|ln (1+x)dx

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