Prove each of the following statements using mathematical induction. (b) For any n ≥ 1, the factorial function, denoted by n!, is the product of all the positive integers through n: n! 1.2.3. (n − 1) n Prove that for n ≥ 4, n! ≥ 2".

Prove each of the following statements using mathematical induction. (b) For any n ≥ 1, the factorial function, denoted by n!, is the product of all the positive integers through n: n! 1.2.3. (n − 1) n Prove that for n ≥ 4, n! ≥ 2".

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.2: Mathematical Induction

Problem 35E

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Prove each of the following statements using mathematical induction.
(b) For any n ≥ 1, the factorial function, denoted by n!, is the product of all the positive integers through n:
n! = 1·2·3· (n − 1) · n
Prove that for n ≥ 4, n! ≥ 2".

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