limx趋向0 (x-sinx)/(x的平方(e的x次方-1))

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limx趋向0 (x-sinx)/(x的平方(e的x次方-1))

limx趋向0 (x-sinx)/(x的平方(e的x次方-1))
limx趋向0 (x-sinx)/(x的平方(e的x次方-1))

limx趋向0 (x-sinx)/(x的平方(e的x次方-1))
lim(x→0) (x-sinx)/(x^2(e^x-1))
=lim(x→0) (x-sinx)/x^3
=lim(x→0) (1-cosx)/(3x^2)
=lim(x→0) (1/2x^2)/(3x^2)
=1/6