limx-0(1-3根号1-x+x^2)/x
问题描述:
limx-0(1-3根号1-x+x^2)/x
答
x→0时[1-3√(1-x+x^2)]/x不存在,
[1-(1-x+x^2)^(1/3)]/x
=(1-x)/[1+(1-x+x^2)+(1-x+x^2)^(2/3)](分子有理化)
→1/3.