1个回答
展开全部
f(0) =0
g(x)
=f(x)/x ; x≠0
=a ; x=0
lim(x->0) f(x)/x (0/0)
=lim(x->0) f'(x)
=f'(0)
x=0, g(x) 连续
=> a= f'(0)
---------
g'(0)
= lim(h->0) [g(h) -g(0) ]/h
= lim(h->0) [f(h)/h -0 ]/h
= lim(h->0) f(h)/h^2 (0/0)
= lim(h->0) f'(h)/(2h)
=(1/2) lim(h->0) f'(h)/h
=(1/2) f''(0) (如果 f'(0) =0)
ie
g'(x)
=[xf'(x)- f(x) ]/x^2 ; x≠0
=(1/2)f''(0) ; x=0
g(x)
=f(x)/x ; x≠0
=a ; x=0
lim(x->0) f(x)/x (0/0)
=lim(x->0) f'(x)
=f'(0)
x=0, g(x) 连续
=> a= f'(0)
---------
g'(0)
= lim(h->0) [g(h) -g(0) ]/h
= lim(h->0) [f(h)/h -0 ]/h
= lim(h->0) f(h)/h^2 (0/0)
= lim(h->0) f'(h)/(2h)
=(1/2) lim(h->0) f'(h)/h
=(1/2) f''(0) (如果 f'(0) =0)
ie
g'(x)
=[xf'(x)- f(x) ]/x^2 ; x≠0
=(1/2)f''(0) ; x=0
本回答由网友推荐
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
