limx→1(3/1-x^3)-(1/1-x)
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limx→1(3/1-x^3)-(1/1-x)limx→1(3/1-x^3)-(1/1-x)limx→1(3/1-x^3)-(1/1-x)原式=lim3/(1-x)(1+x+x²)-1/(1
limx→1(3/1-x^3)-(1/1-x)
limx→1(3/1-x^3)-(1/1-x)
limx→1(3/1-x^3)-(1/1-x)
原式=lim3/(1-x)(1+x+x²)-1/(1-x)
=lim-(x²+x-2)/(1-x)(1+x+x²)
=lim(x+2)(x-1)/(x-1)(1+x+x²)
=lim(x+2)/(1+x+x²)
=1
原式=lim(x->1) 3/(1-x^3)-(1+x+x^2)/(1-x^3)
=lim(x->1) (3-1-x-x^2)/(1-x^3)
=lim(x->1) (x^2+x-2)/(x^3-1)
=lim(x->1) (x+2)/(x^2+x+1)
=3/3
=1
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