# Limit question

1. Oct 20, 2007

### transgalactic

[SOLVED] limit question

i added a file with the question and how i tried to find the legality between the
objects of the series

lim [1/(1*2) + 1/(2*3) + 1/(3*4) + ... + 1/(n*(n+1))]
n>>infinity

i cant find the total sum of all the objects in the series

if i would get the total sum of all the objects
i can get the limit

i could add the first numbers and to make an estimation about the limit
but how i solve it in equetions??

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Last edited: Oct 20, 2007
2. Oct 20, 2007

### TD

Does this help?

$$\frac{1}{{n\left( {n + 1} \right)}} = \frac{1}{n} - \frac{1}{{n + 1}}$$

3. Oct 20, 2007

### transgalactic

i got

lim 1- [1/(n-1)] =1
n>>infinity

thanks

Last edited: Oct 20, 2007
4. Oct 20, 2007

### TD

The limit is indeed 1.