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2.1 The Exponential Integral Function — Analytical Considerations and Functional Approximations. You are to propose functional approximations for E1(x). ○ You are to. You are to use the data in the attached Microsoft Excel file. Selecting a function name will take you to a. Returns the exponential of a. + Show How to Do This in Excel 2007: Click the Microsoft button on the top left.
- Linear Approximation Of Exponential Function
- Exponential Integral Approximation
- Exponential Integral Table
exponential function : e^x=1+ x/1! + x^2/2! +...x^n/n! ; n!=1*2*3..*n
inside the function we can use t(n)=x^n/n! and for recurrence formula t(n)=t(n-1)*x/n
The partial sum to the n-th clause is expressed with s(n) which is ; s(n)=s(n-1)+t(n)
then e=1+s(n)
the calculation will repeat until i=n and t(n) <0.001
the problem is when i run the program the answer is no same with the exponential function above.
Sub e2()
Dim n As Double
Dim x As Double
Dim i As Double
Dim tn As Double
Dim sn As Double
Dim t1 As Double
Dim e As Double
Linear Approximation Of Exponential Function
x = CInt(InputBox('x?'))
n = CInt(InputBox('n?'))
Do
For i = 1 To n
t1 = x / (n - 1)
tn = (x / (n - 1)) * (x / n)
sn = tn + t1
e = 1 + sn
Exponential Integral Approximation
If x = 0 Then Exit ForExponential Integral Table
Next i
Loop Until tn < 0.001 Or -tn < 0.001
MsgBox 'e^' & CStr(x) & '=' & CStr(e)
End Sub