作业帮lim（3/（x^3-1)-1/(x-1),x趋于1,求极限
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/17 13:15:54
x)}X HTjkT iۺ3yټƗ3'$铦AΆ<;!j4*Ԕ
-+
5tQXT*d 4JXB z@iij@5U QC)+*l
^u)D~qAb 4xl} EH7ҭ@s DP;^,_ Vma5":kf(((" (^6zttL@Eq@jUG5^]R. ř@91 q
lim（3/（x^3-1)-1/(x-1),x趋于1,求极限
lim（3/（x^3-1)-1/(x-1),x趋于1,求极限
lim（3/（x^3-1)-1/(x-1),x趋于1,求极限
lim [3/(x-1)(x²+x+1) -(x²+x+1)/(x-1)(x²+x+1)] x趋于1
=lim(3-x²-x-1)/(x-1)(x²+x+1) x趋于1
=lim -(x+2)(x-1)/(x²+x+1) x趋于1
=lim-(x+2)/(x²+x+1) x趋于1 用x=1代入
=-1
原式=lim[3/(x-1)(x²+x+1)-1/(x-1)]
=lim-(x-1)(x-2)/(x-1)(x²+x+1)
=lim(2-x)/(x²+x+1)
=1/3
解 limx→1{3/（x^3-1）-1/（x-1）}
=limx→1{3/[(x-1)(x²+x+1)]-1/（x-1）}通分得
=limx→1{（-x^2-x+2）/[（x-1）(x²+x+1)]}
=limx→1{-（x+2）/（x²+x+1）}
=-3/3
=-1
lim（x-3/x+1）^x lim趋向无穷大
lim(x+e^3x)^1/x
lim(1-x)^3/x 求极限~
lim x-1/x平方+3x-4 x-1
lim(x->0)((2-x)/(3-x))^1/x
lim(x->无穷大){(2^x-3^x)/2}^(1/x)
lim（ x→∞）（1+x / x)^3x
极限函数计算lim( x^3 / sinx - x )lim( (1/e^x-1)-(1/x) )
1.lim x->∞ （2x/x^2+1)*cosx 2..lim x->∞{ [(x^2-x)arctanx]/x^3-x-5}3..lim x->0 （e^x-e^-x-2x)/(x-sinx) 4..lim x->0 (sinx-x)/(x^3) 5..lim x->0 (x^2*tanx)/(x-tanx) 6..lim x->0 (1+3/x)^2x 7..lim x->0 (1+2x)^(3/sinx) 8.lim x->∞ (x/1+x)^(x-3) 9..li
lim(x趋近于1)x^3-1/x-1
lim(2x+3/2x+1)^(x+1)
lim x->无限大 (1+1/2x) ^ 3x+lnx
lim(2x-3/2x+1）^x+1
lim x-无穷 (√3x^2+1)/x+1
lim(x趋向于无穷)(1+3/x)^(x-3)
lim(x→0)(1-3x)^(3/x)
lim(1+3x)^3/x x趋向于0
计算lim(1+3x)^3/x x趋向0