limx→0(1-x)^(1/x)

limx→0(1-x)^(1/x) limx→0(1-x)^x= limx→1 x^2-x+1/x-1= limx→0+x^sinx= limx→0 x/根号(1-cosx) limx→0 (a^-1)/x limx→0(a^x-1)/xlna limx→0(1/x)^tanx limx→0 (1+x/1+x)^1/x 求limx→0[(1+x)/(1-x)]^1/x limx→0(x+e^x)^(1/x)详细步骤! limx→0 (e^x-1)x^2/x-sinx limx→0(2+x／2-x)∧1/x limx→-1(x^3/x+1) limx->0,((1+x)^n-1)/x 1.limx→∞(1-1/2x)^x 2.limx→∞(1﹢x／x)^2x 3.limx→∞(1+1/x+3)^x 4.limx→0(1+2x)^1/x limx→0 x-ln(1+x)/1-cosx 求limx→0[(1-x)^(1/x)] limx→0,(1+x)^1/x=e 为什么