Word Count : 139

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We are asked to show that: $$ e^{-x} < 1 - x + \frac{x^2}{2}, \quad x > 0 $$ Consider the Taylor series expansion of $e^{-x}$ about ____ ________ __________ __________ ________ _________ _______ ___ ____ _________ _________.
____ _________ _________ __________ ______ ________ ____ ________ ________ ________ _________.
________ _______ ______ _______ _____ ___ ______ ____.
__________ _________ _______ _______ _______ ____ ____ _________ _____ ________ _______.
_____ ____ _______ ________ _________ __________ ___ ____ __________ _______ ________.
__________ __________ _____ _________ ________ __________ __________ _____.
______ _____ _____ __________ ___ ___ _______ _________.
________ _________ ____ ________ ________ ______.
________ ________ ______ _______ ___ ____ _______ ____ ___ __________ ____ ________.
___ ________ __________ _________ __________.
____ ______ ___ ______ __________ ________ __________ _____ _________ ___ _____ _______.
______ ___ ________ ________ ______ _____ ______ _____ _____.
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