高数题,lim (1+x)/【1-e^(-x)】-1/xx趋近于0

lim(lnx)-1/(x-e) lim (e-(1+x)^(1/x))/x lim(x+e^3x)^1/x 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 (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 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 求极限lim (e^1/x+e)tanx/x(e^1/x-e) x趋于0^+ lim(x趋向0)(e-e^cosx)/ln(1+x2) 极限函数计算lim( x^3 / sinx - x )lim( (1/e^x-1)-(1/x) ) lim【1/x-1/(e^x-1)】,x→0.