Imagine that you need to compute $e^{0.2}$ but you have no calculator or other aid to enable you to compute it exactly, only paper and pencil. You decide to use a third-degree Taylor polynomial expanded around $x=0$. Use the fact that $e^{0.2}<e<3$ and the Error Bound for Taylor Polynomials to find an upper bound for the error in your approximation.

$\lvert$error$\rvert \leq$