- #1
mkwok
- 23
- 0
Homework Statement
Determine the Taylor Series for f(x)=sinx about the center point c=pi/6
Homework Equations
pn(x) = f(c) + f'(c)(x-c) + f''(c)(x-c)^2/2! + f'''(c)(x-c)^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 hereWhat 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?