(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the Taylor Series for f(x)=sinx about the center point c=pi/6

2. Relevant equations

pn(x) = f(c) + f'(c)(x-c) + f''(c)(x-c)^2/2! + f'''(c)(x-c)^3/3! + ...

3. The attempt at a solution

f(pi/6) = 1/2

f'(pi/6) = [tex]\sqrt{3}[/tex]/2

f''(pi/6) = -1/2

f'''(pi/6) = -[tex]\sqrt{3}[/tex]/2

f(4)(pi/6) = 1/2 and the coefficients repeats from here

What I am stuck on is.. how do I make it so that (-1) will only appear on the 3rd and 4th term... and how do I make it so that [tex]\sqrt{3}[/tex] will only appear on the odd terms?

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# Homework Help: Taylor Polynomial

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