∵e^x=1+x+x^2/2+o(x^2)∴e^(x^3)=1+x^3+x^6/2+o(x^6)lim[x-->0][e^(x^3)-1-x^3]/(tanx-sinx)^2=lim[x->0][1+x^3+x^6/2+o(x^6)-1-x^3]/[sinx(1/cosx-1)]^2=lim[x->0](cosx)^2[x^6/2+o(x^6)]/[(sinx)^2(1-cosx)^2] ...