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Problem 8. Use the Principle of Mathematical Induction to prove that 2" < n! if n is an integer greater than 4.

Problem 8. Use the Principle of Mathematical Induction to prove that 2" < n! if n is an integer greater than 4.

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 8.** Use the Principle of Mathematical Induction to prove that \(2^n < n!\) if \(n\) is an integer greater than 4. --- This educational content explains how to use mathematical induction to prove inequalities involving exponential and factorial expressions. It is presented as part of a series of problems designed to enhance understanding of mathematical concepts.
Transcribed Image Text:**Problem 8.** Use the Principle of Mathematical Induction to prove that \(2^n < n!\) if \(n\) is an integer greater than 4. --- This educational content explains how to use mathematical induction to prove inequalities involving exponential and factorial expressions. It is presented as part of a series of problems designed to enhance understanding of mathematical concepts.
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