LeoMath

Explore

Taylor approximation

Raise the polynomial order step by step: see it hug the function near the centre, the error grow outward, and where the radius of convergence ends.

Function
P3(x)=∑k=03f(k)(a)k!(x−a)kP_{3}(x)=\sum_{k=0}^{3}\frac{f^{(k)}(a)}{k!}(x-a)^{k}max error on [a−2, a+2] 0.2426
Related concept: Taylor expansion