Question

Get taylor's string from ln (1 + x) and do the coding in C ++ OOP.

Answer 1

(1 + n)th term of taylor series is given by (x^n)/n! , where series starts with 1.

#include<stdio.h>

#include<math.h>

int main()
{
    printf("\n\n\t\tStudytonight - Best place to learn\n\n\n");

    int x,i;
    int fact = 1,n;
    float sum=0;

    printf("\n\nEnter the value of x in the series :  ");
    scanf("%d",&x);

    printf("\nEnter the number of terms in the series  :   ");
    scanf("%d",&n);

    for(i=1;i<n;i++)
    {
        fact = fact*i;
        sum = sum + (pow(x,i)/fact) ;

    }
    sum= sum +1; //Since series starts with 1

    printf("\n\nThe sum of the taylor series is :  %.2f\n\n",sum);

    printf("\n\n\n\n\t\t\tCoding is Fun !\n\n\n");
    return 0;
}