计算:limx→-1[1/(x+1)-3/(x3+1)]
计算:limx→-1[1/(x+1)-3/(x3+1)]
【正确答案】:1/(x+1)-3/(x3+1)=(x+1)(x-2)/(x3+1)=(x-2)/(x2-x+1) 故所求极限等于limx→-1(1/(x+1)-3/(x3+1)=(-1-2)/(-1)2-(-1)+1=-1
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