作业帮x趋向于-1 (1/x+1)-(3/x^3 +1)=?
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x趋向于-1 (1/x+1)-(3/x^3 +1)=?
x趋向于-1 (1/x+1)-(3/x^3 +1)=?
x趋向于-1 (1/x+1)-(3/x^3 +1)=?
x→-1
lim[(1/(x+1)-3/(x³+1)]
=lim[(x²-x-2)/(x³+1)]
=lim{[(x+1)(x-2)]/[(x+1)(x²-x+1)]}
=lim[(x-2)/(x²-x+1)]
=-1
=0
通分，然后约分，结果是(x-2)/(x^2-x+1)所以极限是-3/3=-1
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