(iv) It is known that 1+2+3+..+n== (n + 1) (Do not prove this). Use the formula above and the AM/GM inequality to prove (n + 1)" > 2"n! for all integersn 2 1. (v) Hence deduce that n! 1 nn 2n-1 VI
(iv) It is known that 1+2+3+..+n== (n + 1) (Do not prove this). Use the formula above and the AM/GM inequality to prove (n + 1)" > 2"n! for all integersn 2 1. (v) Hence deduce that n! 1 nn 2n-1 VI
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:(iv) It is known that
1+2+3+.+n ==
(n + 1)
(Do not prove this).
Use the formula above and the AM/GM inequality to prove
(n + 1)" > 2"n!
for all integersn 2 1.
(v) Hence deduce that
n!
1
nn
2n-1
VI
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