1、（1）原式=(n/(n²+π)+n/(n²+2π)+...+n/(n²+nπ))lim原式≤lim(n/(n²+π)+n/(n²+π)+...+n/(n²+π))=lim(n²/(n²+π))=1n→∞lim原式≥lim(n/(n²+nπ)+n/(n²+nπ)+...+n/(n²+nπ))=lim(n²/(n²+nπ))=1n→∞lim原式=1n→∞
