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.

Load Example Function:

Enter Function f(x):

Polynomial Order (n): 5

Center Point (a):

Plot Range Min:

Plot Range Max:

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.