Taylor formula for a polynomial
= Taylor formula for a polynomial
{c}
For a polynomial $p$ of degree at most $m$, the Taylor formula is exact:
$$
p(t)=\sum_{j=0}^m\frac{p^{(j)}(x)}{j!}(t-x)^j.
$$
= Taylor formula for a polynomial
{c}
For a polynomial $p$ of degree at most $m$, the Taylor formula is exact:
$$
p(t)=\sum_{j=0}^m\frac{p^{(j)}(x)}{j!}(t-x)^j.
$$