- #1
Jbreezy
- 582
- 0
Homework Statement
Verify that the infinite series converges
Homework Equations
[itex]\Big(\sum_{n=1}^\infty\frac{1}{n(n+1)}\Big)[/itex]
The Attempt at a Solution
So I did just that and I got
1/n -1/(n+1)
So I thought to take the limit of this as n goes to infinity I got 0 as the limit. My book took the limit as n goes to infinity of 1 - 1/(n+1) which they say is equal to 1. Which I don't disagree with I don't know how they got from what I got ( and them) 1/n -1/(n+1) to 1 - 1/(n+1)
For a look at what they did see http://www.calcchat.com/book/Calculus-ETF-5e/
You have to put in the section and question though. It is section 9.2 question 29
Have a look I'm lost thanks