求下列极限:lim（n×sinπ/n)

求极限lim(n*sin(pi/n)) (n->无穷大) 求极限 x→π lim sin mx/sin nx (m,n∈N) 求极限lim(n->∞)2^n*sin(π/2^n) 求极限lim(n→∞) sin²[π√(n²+n)] 求极限 lim x-无穷 sin(n+1)/(n+a) 求极限lim(1/n)*[(sin(pi/n)+sin(2pi/n)+.+sin(n*pi/n)] n->无穷 求下列极限.lim(n趋向于无穷大)(2x次方)*(sin*1/2x次方) 求极限 lim sin pi*(n^2+1)^(1/2) 求极限lim n→∞ 根号n乘以sin n 除以n+1 求极限：lim((2n∧2-3n+1)/n+1)×sin n趋于无穷 lim π^n/2^n+3^n.求极限 lim π^n/(2^n+3^n).求极限