MediumCalculusca-347

Exponential Series Terms Needed

Problem

The Maclaurin series of exp(x) has terms |x|^k / k!. Return the smallest number of terms n (starting at k = 0) such that the first omitted term has magnitude below eps.

For x = 0 the answer is 1. Given x and eps, return n.

Hint

Update each term from the previous one by multiplying by |x| and dividing by the new index.

Test cases

case 1

in: [1,0.01]

expected: 5

case 2

in: [2,0.000001]

expected: 14

case 3

in: [0,2]

expected: 0

Starter codePython

def exponential_series_terms_needed(x, eps):
    # Your code here
    pass

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