**Series : x + x^3/3! + x^5/5! +…..+ x^n/n!**

**Series : x + x^3/3! + x^5/5! +…..+ x^n/n!**

Write a C++ Program to print series using function: x + x^3/3! + x^5/5! +…..+ x^n/n!. Here’s simple C++ Program to print series using function: x + x^3/3! + x^5/5! +…..+ x^n/n! in C++ Programming Language.

*What are Functions ?*

*What are Functions ?*

Function is a block of statements that performs some operations. All C++ programs have at least one function – function called “main()”. This function is entry-point of your program.

A function **declaration** tells the compiler about a function’s name, return type, and parameters. A function **definition** provides the actual body of the function.

**Defining a Function : :**

**Defining a Function : :**

The general form of a C++ function definition is as follows:

return_type Function_Name( list of parameters )

{

//function’s body

}

**return_type :**suggests what the function will return. It can be void, int, char, some pointer or even a class object.**Function_Name :**is the name of the function, using the function name it is called.**Parameters :**are variables to hold values of arguments passed while function is called. A function may or may not contain parameter list.**Function body :**is he part where the code statements are written.

Below is the source code for C++ Program to print series using function: x + x^3/3! + x^5/5! +…..+ x^n/n! which is successfully compiled and run on Windows System to produce desired output as shown below :

**SOURCE CODE : :**

**SOURCE CODE : :**

/* C++ Program to print series using function: x + x^3/3! + x^5/5! +.....+ x^n/n! */ #include<iostream> using namespace std; double sum(int ,int ); double res; int main() { int x,n; cout<<"\nEnter value of x :: "; cin>>x; cout<<"\nEnter value of n :: "; cin>>n; res=sum(x,n); cout<<"\nSum of series [ x + x^3/3! + x^5/5! +.....+ x^n/n!] is :: [ "<<res<<" ]\n"; return 0; } double sum(int a,int b) { long power(int,int); int i,j; double s=0,fac=1; long p; for(i=1;i<=b;i+=2) { p=power(a,i); for(j=1;j<=i;++j) { fac*=j; } s+=p/fac; fac=1; } return(s); } long power(int x,int i) { long res=1,j; for(j=1;j<=i;++j) { res*=x; } return(res); }

**OUTPUT : :**

**OUTPUT : :**

/* C++ Program to print series using function: x + x^3/3! + x^5/5! +.....+ x^n/n! */ Enter value of x :: 5 Enter value of n :: 20 Sum of series [ x + x^3/3! + x^5/5! +.....+ x^n/n!] is :: [ 74.1779 ] Process returned 0

Above is the source code for C++ Program to print series using function: x + x^3/3! + x^5/5! +…..+ x^n/n! which is successfully compiled and run on Windows System.The Output of the program is shown above .

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