**The program in C++ to Display Sum of Series [1+x+x^2/2!+x^3/3!+….**]** is given below:**

```
#include <iostream>
#include <cmath>
using namespace std;
int main() {
double x;
int n;
double sum = 1;
cout << "Hello Codeauri Family, enter the value of x right here: \n";
cin >>x;
cout << "And enter the number of terms in the series here:\n";
cin >>n;
for (int i = 1; i <= n; i++) {
double num = pow(x, i);
double denom = 1;
for (int j = 1; j <= i; j++) {
denom *= j;
}
sum += num / denom;
}
cout << "Well, the sum of the series [1+x+x^2/2!+x^3/3!+....] for " << n << " terms is: " << sum << endl;
return 0;
}
```

## Output:

Hello Codeauri Family, enter the value of x right here:

5

And enter the number of terms in the series here:

7

Well, the sum of the series [1+x+x^2/2!+x^3/3!+….] for 7 terms is: 128.619

## Pro-Tips**💡**

This program prompts the user to enter a value for `x`

and an integer value for `n`

,

and then uses two nested for loops to calculate the sum of the series [1+x+x^2/2!+x^3/3!+….] for `n`

terms.

The sum is then displayed at the end.

The program uses pow and factorial functions from <cmath> library and <iostream> for input and output.

It’s important to note that this series is the Taylor series of e^x, where e is the Euler’s number

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