prove that for a , b , c in [0,infinty)
(a - 1/b)(b - 1/c)(c- 1/a) ≥ (a - 1/a)(b - 1/b)( c-1/c).
here (a - 1/b) means a1 - 1b
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1 Answers
Shubhodip
·2011-10-14 02:38:28
its wrong
you mean
ab+ bc+ ac + (ab)2 + (bc)2+ (ac)2≥ a2bc+ b2ac + abc2 + a2+ b2+ c2
take a,b → 0+ and c= 500