25v.teilor

#include <iostream>
#include <math.h>
#include <cassert>
using namespace std; // используем пространство имен std

std::int32_t fac(std::int32_t x) {
    static const int table[] = {
        1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600,
    };
    assert(x >= 0);
    assert(x <= 12);
    return table[x];
}

int main(int argc, const char * argv[]) {
    // insert code here...
    float sum = 0;
    float x = 1;
    float y = sin(pow(x,3)) - x; // = -0.158529
    cout << "Library's value: sin (x^3) - 1 = " << y <<endl;
    double n = 0;
    int i = 1;
    do{
        sum += n;
        n = (pow(-1, i)* pow(x, 2*i+1))/(fac(2*i+1));
        i++;
    } while (fabs(n) > 0.0001);
    cout << "Approximate value with Taylor series = "<< sum << endl;
    system("pause");
    return 0;
}