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In inputbox input x and n

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

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

If x = 0 Then Exit For

Next i

Loop Until tn < 0.001 Or -tn < 0.001

MsgBox "e^" & CStr(x) & "=" & CStr(e)

End Sub

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

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

If x = 0 Then Exit For

Next i

Loop Until tn < 0.001 Or -tn < 0.001

MsgBox "e^" & CStr(x) & "=" & CStr(e)

End Sub

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i`d tried CDbl but the answer is still wrong.

for example x=2,n=3 the answer should be e^2=6.3333

i think there are something wrong with the formulas for t1,tn

Dim n As Double

Dim x As Double

Dim e As Double

Dim Laste As Double

x = CInt(InputBox("x?"))

e = 1

x = 3

n = 1

Do

Laste = e

e = e + x ^ n / Factorial(n)

n = n + 1

Loop While Abs(e - Laste) > 0.0000001

MsgBox "e^" & x & "=" & e

End Sub

Public Function Factorial(ByRef Value As Double) As Double

If Value = 1 Then

Factorial = 1

Exit Function

Else

Factorial = Value * Factorial(Value - 1)

End If

End Function

Kevin

Anyway, your keeping of a running total for the value seemed to be in error.

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

x = CInt(InputBox("x?"))

n = CInt(InputBox("n?"))

e = 0

tn = 1

e = e + tn

'now e is the first term in the taylor expansion (call this term 0)

Do

'add on term 1, 2, 3

i = i + 1

tn = tn * x / i 'this gets the next term from the last

e = e + tn

'If x = 0 Then Exit For - not needed, gives tn=0 when x = 0, so it ends below

'the end ing condition wasn't true

Loop Until tn < 0.001 And tn >= 0 Or -tn < 0.001 And tn <= 0

msgbox ("e^" & CStr(x) & "=" & CStr(e))

i`d tried your solution and it is working!!!however i have to make the program by using the

functions in the question.

Actually i found that i misunderstood the question.This is the question again ;

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 n=100 and |t(n)|<0.001

Sub e21()

Dim x As Double

Dim n As Double

Dim i As Double

Dim t1 As Double

Dim tn As Double

Dim sn As Double

Dim e As Double

x = CDbl(InputBox("x?"))

Do

For n = 1 To 100

t1 = x / (n - 1)

tn = (x / (n - 1)) * (x / n)

sn = tn + t1

e = 1 + sn

If x = 0 Then Exit For

Next n

Loop Until tn < 0.001 Or -tn < 0.001

MsgBox "e^" & CStr(x) & "=" & CStr(e)

End Sub

I`d tried to run the program but it comes into debug.

For example if x=3

e^3=20.0855....

, but if say tn=3, then -tn < .001 and the loop ends

For n = 1 To 100

t1 = x / (n - 1)

then where n=1, you have an immediate division by zero in the second line

t0 = 1

t1 = t0 * x / 1

t2 = t1 * x / 2

t3 = t2 * x / 3

t(n) = t(n-1) * x / n

but you don't want to store all those values, you want to calculate the next term from the previous and throw away the old one - so lets call the nth term variable 'tn'

first consider this

--------------------------

dim tn as double

x=2

tn = 1

for n = 1 to 10

tn = tn * x/n

msgbox("term " + cstr(n) + " = " + cstr(tn))

next

--------------------------

so looking at the code above, I calculate each of the first 10 term in the series. But I want to add them all up, including t0, so then I need running_total

--------------------------

x=2

tn = 1

running_total = tn

for n = 1 to 100

tn = tn * x/n

running_total = running_total + tn

next

--------------------------

'at the end of this, the value is in running total

do you see what this bit does

tn = tn * x/n

it takes the last term and works out the latest term from it.

I`d changed my program by referring your functions and it works.

But how can i make that program to calculate until abs(tn)<0.0001?

I did `Step Into ` and in `Locals Window` when Abs(tn)<0.0001 it should

stop running,but it still run until n=100.

Sub ee()

Dim x As Double

Dim n As Double

Dim tn As Double

Dim running_total As Double

x = CDbl(InputBox("x"))

tn = 1

running_total = tn

Do

For n = 1 To 100

tn = tn * x / n

running_total = running_total + tn

Next n

Loop Until Abs(tn) < 0.00001

MsgBox CStr(running_total)

End Sub

if you get rid of the do loop and have

For n = 1 To 100

tn = tn * x / n

running_total = running_total + tn

if Abs(tn) < 0.00001 then exit for

Next n

you will iterate for a maximum of 100 times, but leaving the loop if tn < .00001

is one way of doing that

you could also use a do loop with a counter and the loop until n>100 or abs(tn)<.000001

this is setting tn to the first term in the series, which is always 1

tn = tn * x / n

this calculates the next value in the series each time

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x = CInt(InputBox("x?"))

n = CInt(InputBox("n?"))

try

x = CDbl(InputBox("x?"))

n = CDbl(InputBox("n?"))