Taylor Series Visualizer

See how a complex function can be approximated by a simpler polynomial. Change the polynomial's order and its center point to see how the approximation changes.

Generated Taylor Polynomial Pₙ(x)

Error Analysis

The error is the absolute difference between the true function and the Taylor polynomial: |f(x) - Pₙ(x)|. Note the logarithmic scale on the error plot, which shows how quickly the error shrinks to zero near the center point.