【例】分别按以下要求求ex≈1+(x/1!)+(x2/2!)+(x3/3!)+…+(xn/n!)

1)直到第20项。

2)直到最后一项小于10-6。

X的值由输入框输入。

程序源码一(计算分数序列的前20项累加和):

Option Explicit
Private Sub Form_Click()
   Dim I As Integer, IJC As Double, J As Integer, X As Integer, Sum As Double
   Sum = 1
   X = Val(InputBox("请输入X的值:"))
   For I = 1 To 19
      IJC = 1
      For J = 1 To I   ' 计算分母I的阶乘
         IJC = IJC * J
      Next J
      Sum = Sum + (X ^ I) / IJC
   Next I
   Print Sum
End Sub

程序源码二:

分析:用I表示分母1,2,3…

   用IJC表示1!,2!,3!…

   用Term表示每一项的值,则Term=xI/IJC

   用Sum表示累加和

   循环初始条件:I=1,Sum=1

   循环终止条件:Term<0.000001

Option Explicit
Private Sub Form_Click()
   Dim IJC As Double, Sum As Double, Term As Double
   Dim I As Integer, J As Integer, X As Integer
   Sum = 1: I = 1
   X = Val(InputBox("请输入X的值:"))
   Do
      IJC = 1
      For J = 1 To I ' 计算分母I的阶乘
         IJC = IJC * J
      Next J
      Term = (X ^ I) / IJC
      Sum = Sum + Term
      I = I + 1
   Loop Until Term < 0.000001
   Print Sum
End Sub

转载自:http://www.longziyong.cn/post/334.html

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