So I have a question about the convergence of a series here:
It says:
Find the radius and interval of convergence, then identify the values of $x$ for which the series converges absolutely and conditionally:
$\displaystyle \sum_{n=1}^{\infty} \frac{\ln^3(n)}{n+1}(2x+1)^n$
I already found the radius of convergence. It's $\frac{1}{2}$. The interval of convergence is $[-1,0)$.
I'm confused about the 2nd part though. Does it converge absolutely on the interval $(-1,0)$ and conditionally converge at $x=-1$? I am asking because I don't understand what does conditional converge physically mean.