x趋近于0 sin(x-x^2)分之tan(2x+x^3)求极限 麻烦写下步骤

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x趋近于0 sin(x-x^2)分之tan(2x+x^3)求极限 麻烦写下步骤
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x趋近于0 sin(x-x^2)分之tan(2x+x^3)求极限 麻烦写下步骤
x趋近于0 sin(x-x^2)分之tan(2x+x^3)求极限 麻烦写下步骤

x趋近于0 sin(x-x^2)分之tan(2x+x^3)求极限 麻烦写下步骤
运用等价无穷小替换,
sinx~x,tanx~x,
——》原式=limx→0 (2x-x^3)/(x-x^2)
=limx→0 (2-x^2)/(1-x)
=(2-0)/(1-0)
=2.