Question $5$

Calculate the theoretical error bound for using the second order Taylor's polynomial to approximate

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e$^\{$x$\}$

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for $\backslash ($ x$=-0\mathrm{.}2\backslash )$ and centered at $0$ with your final answer accurate to the nearest $0\mathrm{.}0001.$

The answer I came up with was $0\mathrm{.}0011.$ But it was wrong