问题标题:
lim(x->0)[x^2-x^1/2]/[x1^2-1]怎么求极限?
问题描述:
lim(x->0)[x^2-x^1/2]/[x1^2-1]怎么求极限?
刘宝良回答:
题目有误,是x→1
设y=x^(1/2)
原式=lim(y→1)(y^4-y)/(y-1)
=lim(y→1)y(y^3-1)/(y-1)
=lim(y→1)y(y-1)(y^2+y+1)/(y-1)
=lim(y→1)y(y^2+y+1)
=3
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