diff --git a/Maths/ExponentialFunction.js b/Maths/ExponentialFunction.js
new file mode 100644
index 0000000000..4212693810
--- /dev/null
+++ b/Maths/ExponentialFunction.js
@@ -0,0 +1,25 @@
+/**
+ * @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
+}
diff --git a/Maths/test/ExponentialFunction.test.js b/Maths/test/ExponentialFunction.test.js
new file mode 100644
index 0000000000..d1eed4895f
--- /dev/null
+++ b/Maths/test/ExponentialFunction.test.js
@@ -0,0 +1,16 @@
+import { exponentialFunction } from '../ExponentialFunction'
+
+describe('Tests for exponential function', () => {
+ it('should be a function', () => {
+ expect(typeof exponentialFunction).toEqual('function')
+ })
+
+ it('should throw error for invalid input', () => {
+ expect(() => exponentialFunction(2, -34)).toThrow()
+ })
+
+ it('should return the exponential function of power of 5 and order of 21', () => {
+ const ex = exponentialFunction(5, 20)
+ expect(ex).toBe(148.4131078683383)
+ })
+})
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