This worksheet illustrates successive Taylor series approximations (about [math]x=0[/math]) to the function [math]f(x) = \sin(x)[/math].

[list=1] [*] Vary [math]n[/math] and observe how the graph of the polynomial [color=#ff0000][math]T_n(x)[/math][/color] gets closer and closer to the graph of the function [color=#0000ff][math]\sin(x)[/math][/color]. [/list]