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Problem 5.8 Prove, for all positive integers n, 1 3 2n – 1 1 < V3n 2 4 2n

Problem 5.8 Prove, for all positive integers n, 1 3 2n – 1 1 < V3n 2 4 2n

Advanced Engineering Mathematics
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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**Problem 5.8** Prove, for all positive integers \( n \), \[ \frac{1}{2} \cdot \frac{3}{4} \cdot \ldots \cdot \frac{2n-1}{2n} < \frac{1}{\sqrt{3n}} \]
Transcribed Image Text:**Problem 5.8** Prove, for all positive integers \( n \), \[ \frac{1}{2} \cdot \frac{3}{4} \cdot \ldots \cdot \frac{2n-1}{2n} < \frac{1}{\sqrt{3n}} \]
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