Find the least upper bound and the greatest lower bound of S = { 2pg+1 PEN, q E N pq and prove that they are the least upper bound and the greatest lower bound of S.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem Statement:**

Find the least upper bound and the greatest lower bound of 

\[ S = \left\{ \frac{2pq+1}{pq}, p \in \mathbb{N}, q \in \mathbb{N} \right\} \]

and prove that they are the least upper bound and the greatest lower bound of \( S \).
Transcribed Image Text:**Problem Statement:** Find the least upper bound and the greatest lower bound of \[ S = \left\{ \frac{2pq+1}{pq}, p \in \mathbb{N}, q \in \mathbb{N} \right\} \] and prove that they are the least upper bound and the greatest lower bound of \( S \).
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