New posts in Taylor Expansion

Determine the Taylor series for $f(x) = x^3 \cdot \ln{\sqrt{x}}$ around the point $a = 1$ and determine its radius of convergence.

Is every series that matters a Taylor series?

Closed form for $\sum_{n=0}^\infty {1\over (xn)!}$

Third degree Taylor series of $f(x) = e^x \cos{x} $

How to evaluate $\lim_{x \rightarrow \infty} \left(\left(\frac{x+1}{x-1}\right)^x -e^2\right){x}^2$

When do Taylor series provide a perfect approximation?

Taylor expansion for vector-valued function?

If $f^2$ and $f^3$ are $C^{\infty}(\mathbb R)$ then $f$ is $C^{\infty}(\mathbb R)$

Limits with Taylor series

Taylor series for tetration