Word Count : 118

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We are asked to evaluate: [ \lim_{x \to 0} \frac{\tan x - \sin x}{x^3}. ] First, recall the Taylor expansions around (x = ______ _____ _____ __________ ________ _________.
________ ________ __________ _____ ______ ________ ___ _________ ______ _____ ____.
_____ ______ ___ _________ ___ _______ _______ _______ ____.
___ _____ ________ _______ _______ _________ __________ _____ ____ ___.
_________ _____ ______ _________ ______ ___ _______ ____ _________.
___ _________ ________ ___ ________ ______ ______ _______ _____ _____ ________ ________.
_______ _____ ________ __________ ________ ______ ___ _________ _______ ___.
_________ __________ ___ ________ ______.
____ ______ ____ _____ __________.
_________ ___ _______ ______ _____ ______ ______.
__________ ________ ______ ______ ____.
_______ ______ _______ ____ _______ ____.
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