lim（x^2-2x+1）/（x^3-x）的极限,x趋于1

lim(2x-3/2x+1）^x+1 lim(x->无穷大){(2^x-3^x)/2}^(1/x) lim(x->0)((2-x)/(3-x))^1/x 1、lim(x->无穷大) e^x arctanx2、lim(x->0)sinx√1+sin(1/x)3、lim(x->无穷大)【（√x^2+x+1）-【(√x^2-x+1)】4、lim(x->无穷大)((x+{x+(x)^0.5]^0.5}^0.5)/(2x+1)^0.55、lim(x->0)(sin3x+x^2sin1/x)/((1+cosx)x)6、lim(n->无穷大)(2^n)(si lim(1-x)^(2/x) x->0 lim(x+1)^x+1(x+3)^x+3/x^2x+4 x趋于无穷 lim(x->+∞）[3^x+2^x]/[(3^x+1)+(2^x+1)] lim（x^2-2x+1）/（x^3-x）的极限,x趋于1 Lim (1+x)(1+2x)(1+3x)-1除以x （x趋向0） lim √（3-x）-√（1+x）/x平方+x-2x→1 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-3/x+1）^x lim趋向无穷大 用罗必达法则解 （见图）lim [(e^x)-1/sin（5x)]x->0lim [1-cos(5x)/1-cos(7x)]x->0lim x->0 [(8^x-7^x-1)/(x^2)-1]lim [1-(6/x)]^x x->∞ lim 7cos(3x)sec(9x)x->pi/2 lim(x→1)(x^3-3x+2)/(x^3-x^2-x+1) lim(x→1)[(x^(3x-2)-x)sin2(x-1)]/(x-1)^3 lim(2x+3/2x+1)^(x+1) 求极限lim(1-2/x+3/x^2)^x lim(x->2) {(3x+16)^1/2-4}/x