式子x^3/6+o(x^3)的2/3次方等于多少,
问题描述:
式子x^3/6+o(x^3)的2/3次方等于多少,
答
x^3+o(x^3)=x^3(1+o(1))
从而(x^3(1+o(1)))^2/3=x^2(1+o(1))^2/3=x^2(1+2/3*o(1))=x^2(1+o(1))=x^2+o(x^2).
这里省略了系数1/6,可自行加上.