We also find the value of e using the Taylor\'s series expansion. The Taylor\'s

Question

We also find the value of e using the Taylor's series expansion. The Taylor's Series expansion of e" is defined as inf n=0 Please make sure your program conforms to the following requirements 1. Write a function called reverse that takes a number as a parameter and returns the reversed number. (20 points) special difference of the number and returns it. (15 points) code from the class examples accurate to the 'nth' term. (20 points) 2. Write a function called difference that accepts a number as a parameter, calculates the 3. Write a function called factorial that returns the factorial of a number. You can use the 4. Write a function called sum that takes 'x' and a number 'n' as a parameter and calculates e" You can use the pow function to calculate x" 6. In the main function, accept a series of numbers from the user. Stop if the number entered is negative. Use the difference method to find the sum of the special differences and print it. (10 points) 7. Next, still in the main function, accept the values of 'x' and 'n' from the user and use the sum function to calculate the required value and print it. (5 points) 8. Make sure you add comments to explain your logic. (5 points)

Explanation / Answer

Solution for Q1

int reverse(int n)
{
int num=n, r= 0;
while(num != 0)
{
r = (r * 10) + (num % 10);
num /= 10;
}
return r;

}

Solution for Q2

//I assume here 'Special Difference' refers to difference between two digits of a number for e.g 98 special difference will be 9-8=1

int difference(int n)
{
int num=n, d = 0;
while(num != 0)
{
d = (num % 10)-d;
num /= 10;
}

return d;
}

Solution for Q3

int factorial(int n)
{
if (n == 0)
return 1;
return n*factorial(n-1); // using recursion to calculate the factorial
}

Solution for Q4

double sum(double x, int n)
{
double e;
e = pow(x, n) / factorial(n);
//using the Taylors series and previous factorial function
return e;
}

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