求lim x趋近于0 sinx^3 tanx/(1-cosx^2)

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求limx趋近于0sinx^3tanx/(1-cosx^2)求limx趋近于0sinx^3tanx/(1-cosx^2)求limx趋近于0sinx^3tanx/(1-cosx^2)实在不行,用tayl

求lim x趋近于0 sinx^3 tanx/(1-cosx^2)
求lim x趋近于0 sinx^3 tanx/(1-cosx^2)

求lim x趋近于0 sinx^3 tanx/(1-cosx^2)
实在不行,用taylor公式吧.
sinx^3 tanx/(1-cosx^2)=Lim(sinx^3 sinx/cosx)/(x^4/2+o(x^4))=Limx^4/(x^4/2+o(x^4))=2

你这表示不清楚,是(sinx)^3还是sin(x^3),cosx^2?