limx趋近于1 sin(1-x^2)/1-x
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limx趋近于1sin(1-x^2)/1-xlimx趋近于1sin(1-x^2)/1-xlimx趋近于1sin(1-x^2)/1-x=limx趋近于1cos(1-x^2)*(-2x)/(-1)=cos
limx趋近于1 sin(1-x^2)/1-x
limx趋近于1 sin(1-x^2)/1-x
limx趋近于1 sin(1-x^2)/1-x
=limx趋近于1cos(1-x^2)*(-2x)/(-1)
=cos0*(-2)/(-1)
=1*(-2)/(-1)
=2
所以0/0型,分子分母分别求导再数来计算
limsin(1-x^2)/(1-x)
=lim[sin(1-x^2)/(1-x^2)]*lim(1+x)
=2
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