x→-1lim(x^3+x^2+x+1)=0考虑|x^3+x^2+x+1-0|≤x^2*|x+1|+|x+1|=(x^2+1)*|x+1|先限制-2<(4+1)|x+1|=5|x+1|对于任意ε>0,取δ=min{1,ε/散坦5}>冲隐桐0,当0<|x+1|<δ,就有|x^3+x^2+x+1-0|<ε根据定义,x→-1lim(x^3+x^2+x+1)=0有携茄不懂欢迎追问