limx→1((1/1-x )- (3/1-x^3))刚学

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limx→1((1/1-x )- (3/1-x^3))刚学
limx→1((1/1-x )- (3/1-x^3))
刚学

limx→1((1/1-x )- (3/1-x^3))刚学
limx→1((1/1-x )- (3/1-x^3))
=limx→1{(x^2+x+1)[/(1-x)(x^2+x+1)]-(3/1-x^3)}
=limx→1[(x^2+x+1-3)/(1-x^3)]
=limx→1[x^2+x-2)/(1-x^3)]
=limx→1[(x-1)(x+2)/(1-x)(1+x+x^2)]
=limx→1[-(x+2)/(1+x+x^2)]
=[-(1+2)/(1+1+1)]
=-1

limx→-1(x^3/x+1) limx→-3 1/x-3= limx→0(1-x)^(1/x) limx→0(1-x)^x= 1.limx→∞(1-1/2x)^x 2.limx→∞(1﹢x／x)^2x 3.limx→∞(1+1/x+3)^x 4.limx→0(1+2x)^1/x 求3个极限:limx→0 sin3x/2x=?limx→∞ xsin(1/x)=?limx→0 [sin(1/x)]/(1/x)=? limx→∞(1+1/2x)^3x+2 limx→-1.x^2-1/x^3-1 limx→3 e^1/(x-3)(x-2） limx→27((x-27)/(x^(1/3)-3)) limx→0 (sinx/x)∧(1/x∧3) 如何求limx→0（3^x-1)/x limx→∞(2^x-1)/3^x=? limx→∞ (1+2/x)^(x+3)求极限 limx→∞ (2x^3-x+1) limx→1 lnx/x-1= limx→1arcsin(1-x)/lnx limx→0 x/根号(1-cosx)