问一下这道题是得0嘛？
1个回答
展开全部
t->0
arctan√t = √t +o(√t)
lim(x->0)∫(0->x^2) arctan√t dt/ (xsinx)
=lim(x->0)∫(0->x^2) arctan√t dt/ x^2
=lim(x->0)∫(0->x^2) [√t +o(√t) ] dt/ x^2
=lim(x->0) (2/3) [t^(3/2) +o(t^(3/2)) ]|(0->x^2)/ x^2
=lim(x->0) (2/3)x^3/ x^2
=lim(x->0) (2/3)x
=0
对，极限=0
arctan√t = √t +o(√t)
lim(x->0)∫(0->x^2) arctan√t dt/ (xsinx)
=lim(x->0)∫(0->x^2) arctan√t dt/ x^2
=lim(x->0)∫(0->x^2) [√t +o(√t) ] dt/ x^2
=lim(x->0) (2/3) [t^(3/2) +o(t^(3/2)) ]|(0->x^2)/ x^2
=lim(x->0) (2/3)x^3/ x^2
=lim(x->0) (2/3)x
=0
对，极限=0
本回答被提问者采纳
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
