limx趋近于0+ x·e^1/x

limx趋近于0+ x·e^1/x limx趋近于0 (e^2x)-1/x limx趋近于0时1/(1-e^1/x) limx趋近于0(e^2x-1)/sin4x limx(e^1/x-1) x趋近于无穷 limx趋近于0[3e^(x/x+1)-1]^(sinx/x)求极限 limx趋近于0 { [（1+x）^(1/x)]--e}/x limx趋近于0x^(x^x-1)的极限 limx趋近于0,e∧2x-1/ln(1+x) limx^[1/ln(e^x-1)],x从右边趋近于0, limx趋近于0时(e^x-1)/x^2的极限 证明x趋近于0+ limx[1/x]=1 limx趋近于0 x^3-1/x-1 limx趋近于0sin(1/x)/(1/x) limx趋近于0(sinx/x)^(1/x^2) limx趋近于0sin2xln(1+x)/4x^3 limx趋近于0 1-gen1+x^2/x^2 limx趋近于0sin3x/2x