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Ulikhet

Posted: 22/10-2014 21:00
by Gustav
La $x_1,x_2,\cdots,x_n$ være positive reelle tall slik at $x_1x_2\cdots x_n=1$.

Vis at $\frac{1}{n-1+x_1}+\cdots + \frac{1}{n-1+x_n}\leq 1$

Re: Ulikhet

Posted: 30/12-2014 01:05
by stensrud
Edit: Drøy feil.

Re: Ulikhet

Posted: 30/12-2014 01:57
by Gustav
stensrud wrote:
[tex]\frac{\frac{1}{x_{m}}}{(\frac{1}{x_{m}})(n-1)+1}=[/tex]

[tex]\frac{1}{({x_m}\cdot \frac{1}{{x_m}})(n-1)+1}=[/tex] [tex]\frac{1}{n}[/tex]
Denne overgangen stemmer vel ikke helt

Re: Ulikhet

Posted: 30/12-2014 09:06
by stensrud
Oi. Fyttikatta så flaut. Gikk visst litt fort i svingene der ja :lol: