Closed form of a partial sum?
Hey fellow math people,
I'm Matt, new to the board and looking forward to reading posts and learning as much as I can so I can get through my calc II class and beyond.
To start, I'm having trouble with finding the closed form of an nth partial sum of an infinite series. Here's the question given:
ln(1/2) + ln(2/3) + ln(3/4) +...+ ln(k/k+1) +...
Directions say to find closed form and if it converges, find limit.
Any help appreciated, I'm having trouble comprehending the process of finding a closed form. I know you subtract (Sn) from some other form of the series--but what's the common ratio betwee the two? Or am I going off on a tangent...