函数f(x)在x=0邻近有定义,f(0)=0,f`(0)=1则limx趋近0f(x)/x=函数f(x)在x=0附近有定义,f(0)=0,f`(0)=1则limx趋向于0 f(x)/x=?
问题描述:
函数f(x)在x=0邻近有定义,f(0)=0,f`(0)=1则limx趋近0f(x)/x=
函数f(x)在x=0附近有定义,f(0)=0,f`(0)=1则limx趋向于0 f(x)/x=?
答
limx趋向于0 f(x)/x
=limx趋向于0 [f(x)-f(0)]/x
=f'(0)
=1