求极限lim(1-cos(1-cosX))/(sinx^2*ln(1+x^2))有图.

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求极限lim(1-cos(1-cosX))/(sinx^2*ln(1+x^2))有图.
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求极限lim(1-cos(1-cosX))/(sinx^2*ln(1+x^2))有图.
求极限lim(1-cos(1-cosX))/(sinx^2*ln(1+x^2))有图.

求极限lim(1-cos(1-cosX))/(sinx^2*ln(1+x^2))有图.
等价无穷小代换sinx~x,ln(1+x)~x,1-cosx~0.5x^2
原式=lim0.5(1-cosx)^2/x^4=lim0.5*(0.5x^2)^2/x^4=1/8