New posts in Taylor Expansion

Doubt about Taylor series: do successive derivatives on a point determine the whole function?

Prove the equality (Taylor series).

Simplification of $\prod\limits_{i=1}^{n}{\sin(it)}$

Show that $\left\vert\frac{\pi}{4} - \left(1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9}\right)\right\vert < 0.1$

Find the approximation of $\sqrt{80}$ with an error $\lt 0.001$

Are there alternative proofs of the general Taylor-series expansion theorem for real functions?

"Distance" between summands in Taylor Series of Cosine

Taylor series for $e^{a x} J_0 (b x)$

Alternative proof of Taylor's formula by only using the linear approximation property

Taylor series of functions with matrix input