Answer to Question #265060 in C for Jack

Question

Taylor series expands function into a finite sequence of a variable x or a finite series plus a

remainder. A complex electromagnetic signal transmitted from a radio transmitter can be

decomposed into its components by using Taylor approximation, which is equivalent to estimating

the parameters of complex exponential functions. Let x(t) be a signal transmitted. Develop a C-

script that calculates the following Taylor series approximation of function f(x) for N number of

terms. Where N is the largest whole number which is a factor of both 42 and 98. You can select any

positive real value of x.

f (x) = ∑

𝒙

𝒏

𝒏!

𝑵

𝒏=𝟎

= 1 +

𝒙

𝟏!

+

𝒙

𝟐

𝟐!

+

𝒙

𝟑

𝟑!

........

Note : Don't use arrays, do with loops

Answer 1

#include <iostream>
using namespace std;
int getGCD(int x, int y)
{
	if (x == 0)
	return y;
	if (y == 0)
	return x;


	if (x == y)
		return x;


	if (x > y)
		return getGCD(x-y, y);
	return getGCD(x, y-x);
}


int main()
{
	int n1= 42, n2 = 98;
	cout<<"GCD of "<<n1<<" and "<<n2<<" is "<<getGCD(n1, n2);
	return 0;
}