Taylor Series Approximation of e^x

This example demonstrates how to build polynomial approximations of the exponential function e^x by summing the terms of its Taylor series and comparing the resulting curves as the series order changes. The key concepts include Taylor series (power-series expansion about a point), partial sums as polynomial approximants, and the idea of representing a transcendental function using finite polynomial sums. Construction in GeoGebra is based on the Sum command, using objects such as a function/term definition f, the number of terms n, a summation structure g, and a text object (text2) to display parameters or results. It is well suited for calculus lessons on series expansion, convergence intuition, and for students/learners who want an interactive visualization of how higher-order terms improve approximation accuracy.