f(x) = cos(x) centered at pi/6: https://www.desmos.com/calculator/xnhnf5t6id

Taylor polynomials of higher degree stick closer to the original function at first, but then move away faster.

Somehow, it looks like psub6 is closer to the graph than psub8? We don’t know why.

Also, we noticed the derivatives of cos(x) are cyclic and repeat every 4 times, so every 4th taylor polynomial beginning with psub1 has the same end behavior (you can see that in the color scheme).

Russell, Kevin, Erick, Joel