E^(-x) less than 1-(x/2) for 0 less than x less than or equal to 1.5936

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Theorem

The following formula holds for $0 < x \leq 1.5936$: $$e^{-x} < 1 - \dfrac{x}{2},$$ where $e^{-x}$ denotes the exponential.

Proof

References