Taylor Polynomials

The blue function is the graph of f(x). (Initially f(x) = sin(x) with n = 3). The red function is the graph of T_n(x), the nth Taylor Polynomial of f(x) centered at a.

Drag the slider above to change the value of n.
Drage the point a back and forth to change its value.
Type "f(x) = ln(1+x)" or "f(x) = e^x" in the Input box to try some other functions.

Jason McCullough, Created with GeoGebra