Prove that n! < [(n + 1)/2]^n

Prove that n! < [(n + 1)/2]^n

Postby kate » Fri Oct 19, 2007 6:52 am

Prove that

[tex]n! < [(n + 1)/2]^n[/tex],

for n ≥ 2.
kate
 
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Postby eternal » Fri Oct 19, 2007 7:19 am

AM-GM for 1,2.....n
:lol:

eternal
 
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