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Category: Series Expansions

Taylor series for sinx centered at pi

Taylor series for sinx centered at pi

Input interpretation
series | sin(x) | point | x = pi
Series expansion at x=π
-(x – pi) + 1/6 (x – pi)^3 – 1/120 (x – pi)^5 + O((x – pi)^7)
(Taylor series)
(converges everywhere)
Approximations about x=π up to order 3
(order n approximation shown with n dots)
Series representation at x=π
sum_(n>=0)-(i i^n (-1 + (-1)^n) (-pi + x)^n)/(2 n!)