2 3 n a. If n E N, then + + + •+ 3! 4! (n+1)! (Hint: 3! (reads 3 factorial) = 3 x 2 x 1. n! = nx (n-1)!) b. Prove that n! > 2" for n ≥ 4. = 1. - 1 (n+1)!
2 3 n a. If n E N, then + + + •+ 3! 4! (n+1)! (Hint: 3! (reads 3 factorial) = 3 x 2 x 1. n! = nx (n-1)!) b. Prove that n! > 2" for n ≥ 4. = 1. - 1 (n+1)!
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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Please follow the proper format for the following inductive proof problems and give sufficient detail for clarity and completeness
Transcribed Image Text:n
(n+1)!
(Hint: 3! (reads 3 factorial) = 3 x 2 x 1. n! = nx (n-1)!)
a. If n € N, then +
E
b.
2! 3!
+
-
4!
Prove that n! > 2n for n ≥ 4.
+ +
=
1-
-
1
(n+1)!*
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