A question about an expoential function

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I got an exponential function as follows $\displaystyle 1-\frac{1}{x}+\frac{e^{-x}}{x}$

Does anyone know how to approximate such a function in a simpler term? Many thanks!

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You could write out $e^{-x}$ in a power series. If we have $e^{-x} = 1 - x +\frac{x^2}{2} - \cdots$, then your expression becomes a little simple. I'm not sure if that's what you were looking for?