Word Count : 175

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To evaluate the limit: \[ \lim_{x\to 0}\frac{\tan x-\sin x}{x^3} \] we will use the Taylor series expansions of \(\tan x\) and \(\sin x\) around \(x = 0\). ### Step 1: Taylor Series Expansions #### Sine _________ __________ ____ ____ _____ _________ __________ __________ _________.
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