Taylor Series
This shows the Taylor Series approximation (in red) to a function (in blue) and the difference between them (black). You are invited to see how the approximation varies depending upon which point on the original function the expansion takes place around (move the blue point along the curve), or on how many terms are included in the approximation (move the NTERMS slider, 2=linear, 3=quadratic etc.)
You may also look at the Taylor approximation to any function by typing it into the input box.