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](/uploads/image/z/7101682-34-2.jpg?t=x%E8%B6%8B%E8%BF%91%E4%BA%8E0+sin%EF%BC%88x-x%5E2%EF%BC%89%E5%88%86%E4%B9%8Btan%EF%BC%882x%2Bx%5E3%EF%BC%89%E6%B1%82%E6%9E%81%E9%99%90+%E9%BA%BB%E7%83%A6%E5%86%99%E4%B8%8B%E6%AD%A5%E9%AA%A4)
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.
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.
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