You can also select one function of the following list:

On the left Graphics view, a enhanced phase portrait of a complex function is displayed. On the right Graphics view, one can see the approximation of the function through it's Taylor polynomials $\sum_{k=0}^{n} a_k (z-z_0)^k$ at the blue base point $z_0$.

The complex function, the base point $z_0$, the order $n$ of the polynomial and the Zoom can be modified.

Note: The applet was originally written by Aaron Montag using Cindy.js. The source code can be found at GitHub.