用等价无穷小量代替,求极限,

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用等价无穷小量代替,求极限,用等价无穷小量代替,求极限, 用等价无穷小量代替,求极限,原式=lim(x→0)(1/cosx-1)/sin^2(x)=lim(x→0)(1-cosx)/sin^

用等价无穷小量代替,求极限,
用等价无穷小量代替,求极限,
 

用等价无穷小量代替,求极限,
原式=lim(x→0)(1/cosx-1)/sin^2(x)
=lim(x→0)(1-cosx)/sin^2(x)*1/cosx
=lim(x→0)2sin^2(x/2)/sin^2(x)*1
=lim(x→0)2(x/2)^2/x^2 (sinx~x)
=1/2