New posts in Taylor Expansion

Settle a classroom argument - do there exist any functions that satisfy this property involving Taylor polynomials?

Evaluating $\sum_{n \geq 0} \frac{x^{8n}}{(8n)!}$

Necessary and sufficient condition for real analyticity

What kind of functions cannot be described by the Taylor series? Why is this?

What is the difference between the Taylor and Maclaurin series?

Taylor expansion using stirling's approximation

Prove $\sum _{n=1}^{\infty }\:\frac{x^n}{n}$ is equal to $-\ln\left(1-x\right)$, for $|x| < 1$

Curious relation between $e$ and $\pi$ that produces almost integers

Dividing an infinite power series by another infinite power series

$\frac{{\sin \theta \cos \theta}}{1!}+\frac{{\sin 2\theta \cos ^2\theta}}{2!}+\frac{{\sin 3\theta \cos ^3\theta}}{3!}+...\infty$