【高数微积分】求下列极限 limx→∞[lg(x^2=100)/(100x^2+1)]

题目

【高数微积分】求下列极限 limx→∞[lg(x^2=100)/(100x^2+1)]
= 偶写错了
limx→∞[lg(x^2+100)/(100x^2+1)]

答案

(x^2=100)/(100x^2+1(1-100/x^2)/(100+1/x^2),当x趋于无穷时,极限为1/100,取对数后极限为－2