微积分运算 求大神解!!
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lim(x->-1) [ 1/(x+1) - 3/(x^3+1) ]
=lim(x->-1) { 1/(x+1) - 3/[(x+1)(x^2-x+1)] }
=lim(x->-1) [(x^2-x+1)- 3]/[(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
=lim(x->-1) { 1/(x+1) - 3/[(x+1)(x^2-x+1)] }
=lim(x->-1) [(x^2-x+1)- 3]/[(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
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我想问这为什么是&/&型的 不应该是0/0型的吗?
不是把-1代进去判断吗?
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