2个回答
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(1)
lim(x->-1-)|x^2-1|/[(x+1)(x-1)]
=lim(x->-1-) (x^2-1)/[(x+1)(x-1)]
=lim(x->租卜坦弊桐-1-) (x-1)(x+1)/[(x+1)(x-1)]
=1
(2)
lim(x->-1+)|x^2-1|/[(x+1)(x-1)]
=lim(x->-1+) -(x^2-1)/[(x+1)(x-1)]
=lim(x->弊早-1+) -(x-1)(x+1)/[(x+1)(x-1)]
=-1
lim(x->-1-)|x^2-1|/[(x+1)(x-1)]
=lim(x->-1-) (x^2-1)/[(x+1)(x-1)]
=lim(x->租卜坦弊桐-1-) (x-1)(x+1)/[(x+1)(x-1)]
=1
(2)
lim(x->-1+)|x^2-1|/[(x+1)(x-1)]
=lim(x->-1+) -(x^2-1)/[(x+1)(x-1)]
=lim(x->弊早-1+) -(x-1)(x+1)/[(x+1)(x-1)]
=-1
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