The conversation between human and AI assistant.
How I find the sum of this series? [math]\displaystyle \sum_{k=1}^{\infty} \frac 1 k \ln(\frac 1 k + 1)[/math]
No, I haven't. How does that work?
Well, we can start by expressing ln(k + 1)-ln(k) as the derivative of ln(k + 1/k).