已知函数值f(0)=0,若极限limX趋向于0f(x/2)/x=2,则导数值f‘(0)
问题描述:
已知函数值f(0)=0,若极限limX趋向于0f(x/2)/x=2,则导数值f‘(0)
已知函数值f(0)=0,若极限limX趋向于0 f(x/2)/x=2,则导数值f‘(0)
答
4能告诉我过程吗?原极限=lim(x/2趋向于0)(1/2)[(f(x/2)-f(0))/(x/2)-0]=2∴lim(x/2趋向于0)[(f(x/2)-f(0))/(x/2)-0]=4=f'(0)