Word Count : 143

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We need to numerically verify that: \[ e^{-x} < 1 - x + \frac{x^2}{2!}, \quad x > 0. \] ### Step 1: Define the Function Define the function: ________ ______ ___ _____ _______.
______ _________ __________ _______ _________ _________ _________ _____.
_________ ____ __________ ______ _________ ____ ____ ____ __________ ________ _____.
______ ________ ______ _____ __________ _________ ____ ____.
___ ______ _____ _______ __________.
________ ______ ___ _______ _________ ___ ________ ____ __________ _________ _____ ________.
_________ _______ _______ ______ _______ _____ ____ _________ ____.
________ _____ _______ _____ __________ ______ __________ _______ _____ _________ ________ __________.
_________ ________ _____ __________ ______ ______.
_______ _______ ___ _________ ________ _______.
___ ___ ____ _____ ________ ________ _______.
___ __________ _______ _________ __________ _____ _______ ______ _______ ______.
___ ______ ___ _____ ___ ___ _______ _________.
______ __________ _________ ______ ___ ________ _________ ___.
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