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

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/26 00:11:39
x趋近于0sin(x-x^2)分之tan(2x+x^3)求极限麻烦写下步骤x趋近于0sin(x-x^2)分之tan(2x+x^3)求极限麻烦写下步骤x趋近于0sin(x-x^2)分之tan(2x+x^

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.