e^x=1+x+x^22!+x^33!++x^nn!+n=0e^x1x^00n=ke^x1+x1!+x^22!+x^33!++x^kk!x0e^x-[1+x1!+x^22!+x^33!++x^kk!]0n=k+1f（k+1）=e^x-[1+x1!+x^22!+x^33!++x^（k+1）（k+1）]!x0f（k+1）1665=x?s=t^2t=2v?tt=2t=2+tv=st=4t+t^2t=4+tt2+t2t0t04+t4t00t...004+t4lit0t=0f（k+1）f（k+1）=e^x-1+x1!+x^22!+x^33!++x^kk!f（k+1）0x=0f（k+1）=e^0-1-01!-02!-.-0k+1!=1-1=0x00f（x）f（0）=0n=k+1f（k+1）=e^x-[1+x1!+x^22!+x^33!++x^（k+1）（k+1）]!x0ne^x1+x1!+x^22!+x^33!++x^nn!x0n......**.................