New posts in Taylor Expansion

A Hamiltonian inequality using uniform convexity and Taylor's formula (Evans PDE, §3.3.3, Lemma 4, (36))

Is it impossible to perfectly fit a polynomial to a trigonometric function on a closed interval?

Taylor polynomial: the higher the degree, the better the approximation?

Misunderstanding the Taylor Remainder Theorem

Evaluate $\sum_{r=1}^{\infty} \frac{1 \cdot 3 \cdot \ldots (2r-1)}{r!}\left(\frac{2}{5} \right)^{r}$

Is this alternative representation of $f(x)=xe^x$ as Maclaurin series correct?

How to derive this series

Bound on remainder for vector valued Taylor series

Why doesn't the Taylor expansion at 0 around $ e^{-1/x^2} $ converge to the function itself?

Estimate $\sum_{n = 0}^N \cos (\alpha n^2)$