Taylor Series for ln(x): Polynomial Approximation via Partial Sums

This GeoGebra example demonstrates how the function ln(x) can be approximated near a chosen expansion point by a finite Taylor polynomial, letting learners visually compare the approximation quality as the series order changes. The key mathematical concepts include Taylor series expansion, local representation of functions, power series, convergence behavior, and constructing partial sums of an infinite series. Construction-wise, the example is built around the GeoGebra Sum command to compute the series partial sum from its terms, using objects such as f, n, g, a, and text2 to assemble the Taylor polynomial and display the associated expression/annotation. It is suitable for high school advanced topics and early undergraduate calculus courses, especially for lessons on series and function approximation.