You are currently browsing the tag archive for the ‘log’ tag.

This one, by Oleg Golberg, appeared in the 6^{th} issue of Mathematical Reflections (MR) 2007. I don’t have a solution yet, but I think I should be able to solve it sooner or later. If you find a solution, you should send it to MR by Jan 19. Here is the problem anyway.

For all integers k, n \geq 2, prove that \\ \displaystyle \sqrt[n]{1 + \frac{n}{k}} \leq \frac1{n} \log \big( 1+\frac{n}{k-1} \big) + 1.

Our other blog

Visitors to this blog

Blog Stats

  • 310,622 hits

Wikio Ranking

Wikio - Top Blogs - Sciences

Current Online Readers

Archives

May 2017
M T W T F S S
« Jan    
1234567
891011121314
15161718192021
22232425262728
293031