About this Simulation

This simulation allows learners to visualize how Taylor series approximate functions through polynomial terms. By adjusting expansion points, order of approximation, and viewing range, students explore how successive Taylor polynomials converge to the original function, with particular emphasis on e and its Taylor expansion properties.

Learning objectives: Understand how Taylor series represent functions as infinite polynomial sums | Observe the convergence behavior of Taylor approximations near expansion points | Analyze the relationship between polynomial degree and approximation accuracy