/* Q: Write a java program that has a class using recursive to find the 10 terms .
a) 1+x/1!+x2/2!...  b)Sin(x) series c)Cos(x) series 
Cos(x)=1-x2/2!+x4/4!-x6/6!
Sin(x)=x-x3/3!+x5/5!...

AIM : To calculate the sum of different series using recursive       method.

*/
import java.io.*;
class series
{
        public static void main(String args[])throws IOException
	{
	int x,i;
	int sgn;
	double sum1,sum2,sum3,term;
	String str;
	sum1=1;
	DataInputStream in = new DataInputStream(System.in);
	System.out.println("Enter value for x");
        str = in.readLine();
	x=Integer.parseInt(str);
	for(i=1;i<=10;i++)
	sum1=sum1+Math.pow(x,i)/fact(i);
	System.out.println("Sum of series is:"+sum1);
	//sine
	sgn = -1;
	sum2=0;
	for(i=1;i<=19;i=i+2)
	{
	sgn = sgn * -1;
	term = Math.pow(x,i)/fact(i) * sgn;
	sum2= sum2+term;
	}
	System.out.println("Sine series is:"+sum2);
	//cosine
	sum3 = 1;
	sgn= 1;
	for(i=2;i<=20;i=i+2)
	{
	sgn =sgn * -1;
	term = Math.pow(x,i)/fact(i) * sgn;
	sum3=sum3+term;
	}
	System.out.println("Cosine series is:"+sum3);
	}
//main method ends and function begins
	static int fact(int num)
	{
		int f;
		if(num==0|num==1)
		return 1;
		f=fact(num-1)*num;
		return f;
	}
}

	

	
	
	


	

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