lim(x→-1)[3⼀(x대+1)-1⼀(x+1)]

2025-02-25 03:26:55
推荐回答(2个)
回答1:

lim(x→-1) [3/(x^3+1)-1/(x+1)]
=lim(x→-1) [3- (x^2-x+1) ]/[(x+1)(x^2-x+1) ]
=lim(x→-1) -(x^2-x-2)/[(x+1)(x^2-x+1) ]
=lim(x→-1) -(x+1)(x-2)/[(x+1)(x^2-x+1) ]
=lim(x→-1) -(x-2)/(x^2-x+1)
=-(-1-2)/(1+1+1)
=1

回答2:

=3