+图钭学技术大荸数学系 University of Science and Technology of china DEPARTMENT OF MATHEMATICS 由Tayo展开 f(x+h)=f(x0)+hf(x)+f"(),x≤5≤x0+h 因此,有误差 R(x)=f(x0) f(xo+h-f(o h 2"()=)数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 由Taylor展开 f x x h h f x + h = f x + hf x + 0   0 + 2 0 0 0 ''( ), 2! ( ) ( ) '( )   因此，有误差 ''( ) ( ) 2! ( ) ( ) ( ) '( ) 0 0 0 f O h h h f x h f x R x f x = − = + − = − 