limx趋于0,(cos2x)^(1/x^2)=
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![limx趋于0,(cos2x)^(1/x^2)=](/uploads/image/z/2820682-10-2.jpg?t=limx%E8%B6%8B%E4%BA%8E0%2C%EF%BC%88cos2x%29%5E%281%2Fx%5E2%29%3D)
limx趋于0,(cos2x)^(1/x^2)=
limx趋于0,(cos2x)^(1/x^2)=
limx趋于0,(cos2x)^(1/x^2)=
求极限:x→0lim(cos2x)^(1/x²)
x→0lim(cos2x)^(1/x²)=x→0lime^[(lncos2x)/x²]=x→0lime^[(-2sin2x)/(2xcos2x)]
=x→0lime^[-(sin2x)/(xcos2x)]=x→0lime^[-2x/(xcos2x)]=x→0lime^[-2/cos2x]=eֿ²=1/e²