EasyCalculusca-060

Maclaurin Polynomial for Exponential

Problem

Evaluate the degree-n Maclaurin polynomial of f(x) = e^x at the point x:

P_n(x) = sum from k = 0 to n of x^k / k!

Build the terms iteratively rather than using a factorial library.

Hint

Each new term is the previous term times x / k; add as you go.

case 1

in: [1,5]

expected: 2.7166666666666663

case 2

in: [0,3]

expected: 1

case 3

in: [2,0]

expected: 1

case 4

in: [-1,4]

expected: 0.37500000000000006

case 5

in: [1,10]

expected: 2.7182818011463845

Starter codePython

def maclaurin_exp(x, n):
    # Your code here
    pass

5 test cases · run your code against them in the editor