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## Homework Statement

Find, with proof, the least upper bound of the set of real numbers E given by:

E ={14n + 9/16n + 13: n [itex]\in[/itex] N}

:

## Homework Equations

## The Attempt at a Solution

So I said that 16n+13>14n+9 for all N

From this I get n>-2

What do I do with this? I understand that as n increase E will decrease but I don't know how to answer the question. Any help would be much appreciated.