For example we have the two sequences

> 
> $A(n) = \dfrac{3n^2+n+2}{n^2-n+1}$
> 
> 
> 

and 

> 
> $ B(n) = 1+(-1/2) + (-1/2)^2 + (-1/2)^3 +\cdots+ (-1/2)^{n-1}$
> 
> 
> 

I can't figure out the steps to work out the upper bound of these two sequences. I've searched so much but I couldn't find any clear examples of that type of questions about bounded sequences.