MediumCalculusca-310

Taylor Remainder Bound Value

Problem

If |f^(n+1)| <= M on an interval, the Taylor remainder after n terms is bounded by M * |x - a|^(n+1) / (n+1)!.

Given M, x, a, and the order n, return the bound.

Hint

Raise the displacement to one power beyond the last included term.

case 1

in: [1,0.5,0,3]

expected: 0.0026041666666666665

case 2

in: [2,1,0,4]

expected: 0.016666666666666666

case 3

in: [5,3,1,2]

expected: 6.666666666666667

Starter codePython

def taylor_remainder_bound_value(m, x, a, order):
    # Your code here
    pass

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