求极限lim(1/(x+1)-3/(x^3+1)) x趋于-1

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求极限lim(1/(x+1)-3/(x^3+1))x趋于-1求极限lim(1/(x+1)-3/(x^3+1))x趋于-1求极限lim(1/(x+1)-3/(x^3+1))x趋于-1：原式=lim(x-

求极限lim(1/(x+1)-3/(x^3+1)) x趋于-1
求极限lim(1/(x+1)-3/(x^3+1)) x趋于-1

求极限lim(1/(x+1)-3/(x^3+1)) x趋于-1
：原式=lim(x->-1)[1/(x+1)-3/((x+1)(x²-x+1))]
=lim(x->-1)[(x²-x-2)/((x+1)(x²-x+1))]
=lim(x->-1)[((x-2)(x+1))/((x+1)(x²-x+1))]
=lim(x->-1)[(x-2)/(x²-x+1)]
=(-1-2)/(1-(-1)+1)
=-1.

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