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 ________ _________ _____ ____ _____ __________.
______ _______ ______ _____ __________ _____ ____ ________ _____.
________ ___ _____ ____ ____ _________ _____.
__________ ______ _______ _________ _______ ____.
____ ____ ___ _____ ___.
_____ __________ __________ __________ _____.
_______ ________ ____ _________ ____ ______ _____ ________.
______ _______ __________ ______ _____ ___ ________ __________ _______ ___ ___ _____.
________ _____ _________ ________ ___ _____ ______ ____ _______ ___.
____ ___ _____ _____ _______ ________ ________.
__________ _____ __________ _________ ________ _______.
____ ___ ______ _______ _____ _________ _____ _________ _______.
_________ ___ _______ ______ ________ __________ ________.
___ ___ ___ ___ ________ __________ _________ _________ ________ ___ _________.
______ __________ __________ ________ ___ ______ ____ ____ __________ _______ _________ __________.
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