问题 解答题 求极限limn→∞(1n2+1+2n2+1+3n2+1+…+2nn2+1) 答案 limn→∞(1n2+1+2n2+1+3n2+1+…+2nn2+1)=limn→∞2n2(1+2n)n2+1=limn→∞2n2+nn2+1=2.