lim(1/(x+1)+1/(x^2-1)) x->-1 求极限

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lim(1/(x+1)+1/(x^2-1))x->-1求极限lim(1/(x+1)+1/(x^2-1))x->-1求极限lim(1/(x+1)+1/(x^2-1))x->-1求极限原式=lim(x->

lim(1/(x+1)+1/(x^2-1)) x->-1 求极限
lim(1/(x+1)+1/(x^2-1)) x->-1 求极限

lim(1/(x+1)+1/(x^2-1)) x->-1 求极限
原式=lim(x->-1) [(x-1+1)/(x+1)(x-1)]
=lim(x->-1) [x/(x+1)(x-1)]
因为
lim(x->-1) [(x+1)(x-1)/x]=0
所以
原式=∞.