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 = x + \frac{x^3}{3} + O(x^5) ] as (x \to ___ ________ ____ _________ ________ ____ _____ ______ _______ ___ _______.
______ _______ _______ ___ _________.
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______ _________ ________ ________ ___ ____.
________ ___ _____ ___ ___ _______ ____ _____ _________.
__________ ______ ___ _________ ______.
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_________ _______ _____ ________ _________ ____ ___.
____ _______ ___ _____ _________ ____ ________.
___ __________ ___ __________ __________.
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_____ ____ _________ _________ __________.
______ ___ ____ _______ ________ ______ _________ ____ ____.
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_________ _______ ___ _________ ___ _____ _____.
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