Find the Taylor polynomial of degree 6 to f(x) = cos x for x near 2 pi. (Note: T

Question

Find the Taylor polynomial of degree 6 to f(x) = cos x for x near 2 pi. (Note: This should be a shift of the 6th degree Taylor polynomial to cox x for x near 0.) Is the Taylor polynomial of degree 6 to f(x) = cos x for x near pi 'just a shift of the Taylor polynomial for x near 0? Why or why not, do not say: 'because they are or are not the same' (I need a good mathematical reason)? (Hint: Think about what the Taylor Polynomial looks like, and what it represents. Go back to alegebra and think what we are doing when we shift functions.)

Explanation / Answer

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http://imgur.com/TavtLPf

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