Prove : when n is a +ve integer > 2

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- Aug 2nd 2008, 11:16 AManirbanInequality (Factorial Related)
Prove : when n is a +ve integer > 2

- Aug 3rd 2008, 01:28 AMflyingsquirrel
Hi !

so

Each term in this product appears twice so we can rewrite it this way

We want to show that that is for . As also contains terms, one can write

Now I claim that each fraction which appears in this product is greater than or equal to 1 and that for , there is at least one fraction which is . If you manage to show this, the conclusion follows. Good luck ! :D - Aug 3rd 2008, 02:32 AManirban
Thanks a lot! I felt as if I am looking at some solution book! Great illustration!(Clapping) (Rofl)