**The program in C++ to Find Sum of the series[ x – x^3 + x^5 + ……] is given below:**

```
#include <iostream>
#include <cmath>
using namespace std;
int main() {
double x;
int n;
double sum = 0;
bool sign = true; // To keep track of the sign of the terms.
cout << "Hello Codeauri Family, enter the value of x here:\n";
cin >>x;
cout << "and enter the number of terms in the series as well: \n";
cin >>n;
for (int i = 0; i < n; i++) {
double term = pow(x, 2*i + 1);
if (sign) {
sum += term;
} else {
sum -= term;
}
sign = !sign;
}
cout << "Well, the sum of the series [x - x^3 + x^5 + ......] for " << n << " terms is: " << sum << endl;
return 0;
}
```

## Output:

Hello Codeauri Family, enter the value of x here:

3

and enter the number of terms in the series as well:

4

Well, the sum of the series [x – x^3 + x^5 + ……] for 4 terms is: -1968

## Pro-Tips**💡**

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

and an integer value for `n`

,

and then uses for loop to calculate the sum of the series [x – x^3 + x^5 + ……] for `n`

terms.

The sum is then displayed at the end.

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

It’s important to note that this series is the Taylor series of sin(x) at x = 0

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