# Math Help - Sequence and bounds

1. ## Sequence and bounds

$a_{n}=\frac{n}{n+1}$

is bounded below by $\frac{1}{2}$

and above by $1$

here they mean the greatest lower bound and least upper bound..

so I don't understand how u could find these bounds by simply being given
$a_{n}=\frac{n}{n+1}$

can some one please explain to me how this work?

2. Sequences I believe take integer values of n greater than 0. Since this sequence can be written as 1 - 1/n it is clearly increasing, so the smallest value is when n=1, and largest as n tends to infinity, is 1.