⑩天掌 Teaching Plan on Advanced Mathematics 由公式可知ex≈1+x++…+ 2! 估计误差(设x>0) e e R, (x)= n1+1 n+1 x"< (0<6<1) (n+ 1) n 取x=1,e≈1+1++… 其误差R< e 3 (n+1)!(n+1) 2004-4-10Tianjin Polytechnic University Teaching Plan on Advanced Mathematics 由公式可知 2! ! 1 2 n x x e x n x  + + ++ 估计误差 (设 x  0) ! 1 2! 1 1, 1 1 n 取x = e  + + ++ . ( 1)! 3 +  n 其误差 ( + 1)!  n e Rn (0 1). ( 1)! ( 1)! ( ) 1 1   +  + = + +   n x n x n x n e x n e R x 2004-4-10