ExponentialFunction.js

/**
 * @function exponentialFunction
 * @description Calculates the n+1 th order Taylor series approximation of exponential function e^x given n
 * @param {Integer} power
 * @param {Integer} order - 1
 * @returns exponentialFunction(2,20) = 7.3890560989301735
 * @url https://en.wikipedia.org/wiki/Exponential_function
 */
function exponentialFunction(power, n) {
 let output = 0
 let fac = 1
 if (isNaN(power) || isNaN(n) || n < 0) {
 throw new TypeError('Invalid Input')
 }
 if (n === 0) {
 return 1
 }
 for (let i = 0; i < n; i++) {
 output += power ** i / fac
 fac *= i + 1
 }
 return output
}

export { exponentialFunction }