limx→00(1-1/x)(1-1/x^2)...(1-1/x^n)肿么写

limx→0(1-x)^(1/x) limx→-1(x^3/x+1) limx→0(1-x)^x= limx→1 x^2-x+1/x-1= limx→0+x^sinx= limx*[ln(1+x)-lnx] limX^(1/x)怎么求? limx→1 lnx/x-1= limx→1arcsin(1-x)/lnx limx→0 x/根号(1-cosx) limx→0 (a^-1)/x limx→0(a^x-1)/xlna limx→0(1/x)^tanx limx→∞e^1/x limx→-3 1/x-3= limx→0 (1+x/1+x)^1/x 求limx→0[(1+x)/(1-x)]^1/x limx→1(x^2-x+1)/(x-1) limx→∞{x-x^2*In(1+ x^-1)