设f(x)在x=0的某一邻域内二阶可导,且lim(x-->0)f(x)/x=0,f''(0)=2.求lim(x-->0)f(x)/x^2因为f(x)在x=0处二阶可导从而连续且lim(x-->0)f(x)/x=0为什么能得到lim(x-->0)f(x)=f(0)=0.请详细解释,多谢

　　设f(x)在x=0的某一邻域内二阶可导,且lim(x-->0)f(x)/x=0,f''(0)=2.求lim(x-->0)f(x)/x^2

　　因为f(x)在x=0处二阶可导从而连续且lim(x-->0)f(x)/x=0

　　为什么能得到lim(x-->0)f(x)=f(0)=0.

　　请详细解释,多谢