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Taylor Series

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Write the Taylor series about x=0 for ([cos(X^3)]/x) and ([cos(7X)]/x^3)

I would like to see the step by step process for how this works.
I know the standard series for any variable of cos(x), but would like to understand how dividing by x changes the problem

keywords : find, finding, calculating, calculate, determine, determining, verify, verifying, evaluate, evaluating, calculate, calculating, prove, proving

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