Lim [ (1+x)^(1/x) -e] /x ( x趋近于0

lim (e-(1+x)^(1/x))/x lim(x+e^3x)^1/x lim(lnx)-1/(x-e) Lim(x/e)^((x-e)^-1),x→e lim(x+e^2x)^(1/sinx) 要证明lim e^x-1~x lim x²e^1/x² lim(x->0+) e^(1/x) lim(x→+∞)(x+e^x)^(1/x) x趋近于0 lim(x+e^x)^1/x lim(x→0)e^x-x-1/x^2 lim (e^x-sinx-1)/(arcsinx^2) lim趋向0时,e^x-e^-1/X lim (e^x+e^-1)= x趋于无穷小 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 lim【1/x-1/(e^x-1)】,x→0. lim(x-1)[e^(1/x)-1],x→+∞