Find limit of sequence

[4c0]

Hi guys,i need detailed explanation on how to calculate limit of this sequence:



I have no idea how to do this,please help!!!

 

[pka]

View attachment 1703

If you really have no idea about this then why are you asked to do it?

 

[4c0]

I know how to find limit of \(\displaystyle 1-\frac{1}{\frac {n(n+1)}{2}}\),but im not sure that's right.
Do i solve this if i find limit of \(\displaystyle 1-\frac{1}{\frac {n(n+1)}{2}}\)?

 

[Deleted member 4993]

I know how to find limit of \(\displaystyle 1-\frac{1}{\frac {n(n+1)}{2}}\),but im not sure that's right.
Do i solve this if i find limit of \(\displaystyle 1-\frac{1}{\frac {n(n+1)}{2}}\)?

This is a multiplicative sequence - thus you'll see terms in numerator and denominator will be factored out.

Work with last 3 or 4 terms of the sequence and deduce what will be left after all the multiplication.

Then take the limit...