1man u hav not heard of titu lemma have u...?
1. If a,b,c be +ve real nos,prove that:
a/(b+c) +b/(c+a) + c/(a+b) >= 3/2
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6 Answers
11Nesbit's!
There are round 25 proofs......
1 such proof..... Take the inequality to be true, add 3 on both sides, take (a+b+c) common from L.H.S & use A.M-H.M.....[78]
1http://get-set-go-jee.lefora.com/2009/08/31/titus-lemma/page1/#post14681747
1Prove:
1/n + 2/(n-1) + 3/(n+2) +.......n/1 >= (n+1)/2(1/n +1/(n-1)+....+1/1)
341Thats Chebyshev on the sequences (1,2,3,...,n) and (1,1/2, 1/3,...,1/n)