EasyCalculusca-020

Taylor Coefficients of Exponential

Problem

Return the Taylor coefficients of e^x expanded about 0 (Maclaurin coefficients) up to and including degree n.

The coefficient of x^k is 1 / k!, so the result has n + 1 entries starting with 1.0 for k = 0.

Hint

Build the running factorial iteratively instead of importing math.factorial.

case 1

in: [3]

expected: [1,1,0.5,0.16666666666666666]

case 2

in: [0]

expected: [1]

case 3

in: [1]

expected: [1,1]

case 4

in: [5]

expected: [1,1,0.5,0.16666666666666666,0.041666666666666664,0.008333333333333333]

Starter codePython

def taylor_coeffs_exp(n):
    # Return n + 1 coefficients
    # Your code here
    pass

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