+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)-/(x0)+f"(5),x≤5≤x+h 因此,有误差 R(x)=f(x0) f(o)-f(xo-h) h f"()=O(h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 f x h R x f x = = − − = − 