X趋向0 lim(xsinx)/(1-cosx)1/1/2=2那么7/2/4为什么等于7/8呢?
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X趋向0 lim(xsinx)/(1-cosx)1/1/2=2那么7/2/4为什么等于7/8呢?
X趋向0 lim(xsinx)/(1-cosx)
1/1/2=2那么7/2/4为什么等于7/8呢?
X趋向0 lim(xsinx)/(1-cosx)1/1/2=2那么7/2/4为什么等于7/8呢?
X趋向0 lim(xsinx)/(1-cosx)
=X趋向0 lim(xsinx)(1+cosx)/(1-cos^2x)
=X趋向0 limx(1+cosx)/sinx)
=X趋向0 lim(1+cosx)[x/sinx)]=2
sinx~x,1-cosx~1/2sin^x~1/2*x^2;
于是lim(xsinx)/(1-cosx)=limx^2/[1/2*x^2]=2
1/1/2=1/[1/2]=2。。。。
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