University⏱ 5 min

Taylor Polynomial

Polynomial approximation of functions

○Not Started
sin(x)T3(x)
Degree: 3
T3(x)=+x1−0.167x3T_{3}(x) = +x^{1}-0.167x^{3}

A Taylor polynomial approximates a function with a polynomial near x=0. Each added term improves the fit. As degree→∞ the approximation is exact everywhere.