The complex exponential e^z can be expanded as a Taylor series sum of z^n/n!, and its partial sums provide polynomial approximations that converge on all of C. This visualization plots the modulus of these partial sums as surfaces, showing how each additional term improves the approximation further from the origin. The convergence is uniform on compact sets but the rate varies with distance from zero.
Controls: Click and drag to orbit, scroll to zoom.
