设f(x)=3xln(1-x^2),g(x)=sin^2,则x趋于0时f(x)是g(x)的同阶还是等价还是高阶无穷小?题目打错一点g(x)=sin^2x

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/13 06:08:01

设f(x)=3xln(1-x^2),g(x)=sin^2,则x趋于0时f(x)是g(x)的同阶还是等价还是高阶无穷小?题目打错一点g(x)=sin^2x
设f(x)=3xln(1-x^2),g(x)=sin^2,则x趋于0时f(x)是g(x)的同阶还是等价还是高阶无穷小?
题目打错一点g(x)=sin^2x

设f(x)=3xln(1-x^2),g(x)=sin^2,则x趋于0时f(x)是g(x)的同阶还是等价还是高阶无穷小?题目打错一点g(x)=sin^2x
f(x)是g(x)的高阶无穷小.
ln(1-x²)~-x²,所以 f(x)~-3x³,
g(x)=sin²x~x²