
设函数f(x)在|x|<δ内有定义,且|f(x)|≤x^2,则f(x)在x=0处
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当|x|<δ |f(x)|≤x^2==>-x^2<=f(x)<=x^2
|f(0)|<=0==>f(0)=0 lim(x->0)f(x)=0(两边夹)
f′(0)=lim(x->0)f(x)/x 因为|f(x)/x|<=|x|==>f′(0)=0
|f(0)|<=0==>f(0)=0 lim(x->0)f(x)=0(两边夹)
f′(0)=lim(x->0)f(x)/x 因为|f(x)/x|<=|x|==>f′(0)=0
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