My Calculus teacher gave me the following problem:

The function f has derivatives of all orders for all real numbers, and f^{(4)}(x) = e^{sin(x)}. If the third degree Taylor polynomial for f about x=0 is used to approximate f on the interval [0,1], what is the Lagrange error bound for the maximum error on the interval [0,1]?

My peers and I had a disagreement on the correct answer and I'm curious which one of us is right.