lim e^x-1/e^(1/x)+1的极限x趋向0时

Lim(x/e)^((x-e)^-1),x→e lim(lnx)-1/(x-e) lim (e-(1+x)^(1/x))/x lim(x+e^3x)^1/x lim(x+e^2x)^(1/sinx) 要证明lim e^x-1~x lim x²e^1/x² lim(x->0+) e^(1/x) 求极限lim (e^1/x+e)tanx/x(e^1/x-e) x趋于0^+ lim趋向0时,e^x-e^-1/X lim (e^x+e^-1)= x趋于无穷小 lim(x→0)e^(-1/x^2)的极限? lim x趋于0 lnx/(e的1/x次方) 求lim[e^x-x-1／x（e^x-1）]的极限, lim(x->∝)ln(x+e^x) /x =lim(x->∝)(1+e^x)/(x+e^x)这一步是怎么得来的呀?看不懂,求教 lim e^2x-1/ln(1-X) 0lim e^2x-1/ln(1-X) 0 的极限 lim (e^x-sinx-1)/(arcsinx^2) lim(x→+∞)(x+e^x)^(1/x)