« Vrati se
Let n be a positive integer, prove that :

(a) \log_{10}(n + 1) > \frac{3}{10n} +\log_{10}n ;

(b) \log n! > \frac{3n}{10}\left( \frac 12+\frac 13 +\cdots +\frac 1n -1\right).

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1233IMO Shortlist 1966 problem 500
1231IMO Shortlist 1966 problem 480
1229IMO Shortlist 1966 problem 460
1228IMO Shortlist 1966 problem 450
1227IMO Shortlist 1966 problem 440
1225IMO Shortlist 1966 problem 420