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National and Regional ContestsSerbia ContestsSerbia JBMO TST2015 Junior Balkan Team Selection Test3

3

Part of 2015 Junior Balkan Team Selection Test

Problems(1)

Serbia Junior Balkan TST 2015

Source:

Prove inequallity :

1+\frac{1}{2^3}+...+\frac{1}{2015^3}<\frac{5}{4}