Word Count : 180

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We are asked to find (a) and (b) such that [ \lim_{x \to 0} \frac{a \tan x + b x}{x^3} \text{ exists.} ] Start by expanding (\tan x) as a Maclaurin series: [ \tan x = ________ _______ _____ ______ _______ __________ ______.
_________ ____ ________ __________ ________ ____ ____ __________ ________ _______ ______ _________.
_________ _______ ___ ___ _________ _______ _________ _______ ___.
_____ _______ ________ _______ ________ ________ ______ ___.
_____ ___ ________ ________ ____ _____ _________.
__________ ________ _________ ____ ____ ______ ________.
______ ________ _____ _____ _______ ______ __________ ___ ___ _______ ________ ____.
___ ______ _________ _______ ___ __________ ______ ___ _____ __________ ________ _______.
______ ___ ____ ___ ____ __________ ______ ____ ______ ____.
_______ ________ ______ ________ _____ ________ _______ ___ _________ ___.
_____ _____ _____ ____ ______ _______ ______ ___ __________.
______ _____ ______ _________ ________ _____.
_______ _________ _______ _____ ____ ______ _______ ____ ___.
_________ __________ _______ ___ ____ ________ ________ _____.
____ ___ _______ _______ ________ ___ _______ _________ _______ ___.
_________ ___ ______ _____ _____ ___ ________ ________.
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