New posts in Power Series

Basic question about real-analytic functions

Why would $1^{-\infty}$ not be 1?

Suppose that $f$ is an entire function satisfying $f(2z)=\frac{f(z)+f(z+1)}{2}$. Show that $f$ is constant.

Is the radius of convergence related to the ratio limit or half of the interval of convergence?

prove that $ \sin(x+y)=\sin{x} \cdot \cos{y} +\sin{y} \cdot \cos{x} $ using power series (without trigonometric identities)

Power Series Solution of $y''+y=0$, and Summation Indices

How to check these terms in $\int{x^x dx}$ power series are correct?

Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Existence or non existence of a sequence $0<u_n<1$ such that $\sum_{n=0}^{\infty}\sqrt{u_n}=\sqrt{s}$ if $\sum_{n=0}^{\infty}u_n=s$?

How can I solve $\int \frac{P_1(t)}{P_2(t)e^{P_3(t)}} dt$