2. Let x be a real number. Prove that for every e > 0 there exist two rational numbers q and q' such that q< x < d' and q- q' < €.
2. Let x be a real number. Prove that for every e > 0 there exist two rational numbers q and q' such that q< x < d' and q- q' < €.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Let x be a real number. Prove that for every e > 0 there exist two rational numbers q and q'
such that q < x < d' and \q-d'| < €.
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