lim x->0 (e^3x -1)/sinx =

lim(x+e^3x)^1/x 求极限lim(x~0)((e^x+e^2x+e^3x)/3)^1/xs lim(x->0+) e^(1/x) lim x趋于0 (x(e^x+1)-2(e^x-1))/x^3 lim e^3x-1/sinx,求值,x->0 lim x->0 (e^3x -1)/sinx = 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 x趋近于0 lim(x+e^x)^1/x lim(x→0)e^x-x-1/x^2 求极限x->0lim(tg^2(2x)/x^3)(1-x/(e^x-1)) lim(x->0) 1-x^2-e^(-x^2)/x*sin^(3)2x lim趋向0时,e^x-e^-1/X 求极限lim (e^1/x+e)tanx/x(e^1/x-e) x趋于0^+ 关于极限1.lim((x^-1) + (x^-4))/((x^-2) - (x^-3)) x-> 正无穷2.lim ((e^x) - (e^-x))/((e^x) + (e^-x)) x-> 负无穷 洛必达法则(1)条件?(2)lim(x->0)P(x)/Q(x)=?已知:lim(x->0)P(x)=A(x),lim(x->0)Q(x)=B(x)可不可以:lim(x->0)P(x)/Q(x)=lim(x->0)A(x)/B(x)(3)lim(x->0)[(1+x)^(1/x)-e]/(cosx-1)=? 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(x->0)ln(1+2x)/e^x-1 x趋向0 lim [ ln (1-x) / (e ^ x-1 ) ]