求这个极限(应该很简单),最好用纸写拍照

2025-05-17 03:00:34
推荐回答(1个)
回答(1):

lim(x->-1) [ 1/(x+1) -1/(x^3+1) ]
=lim(x->-1) { 1/(x+1) -1/[(x+1)(x^2-1+1) ] }
=lim(x->-1) (x^2-x+1-1)/[(x+1)(x^2-1+1)]
=lim(x->-1) x(x-1)/[ (x+1)(x^2-1+1)]
-> ∞