# Thread: Show that : n = E (n * (1 + LOG ((n) -LOG (1 + n)) + 1) with n strictly positive integer

1. HI,

Show that n = E ((n * (1 + LOG (n) -LOG (1 + n)) + 1)
With n is a strictly positive integer
and E is an integer (The ENT function on Excel).  2.

3. Check your parentheses. Should it be (log(n)-log(n+1))?  4. tanks you n = E ((n * (1 + LOG (n) -LOG (1 + n)) + 1)  5. I have to check that n<=((n * (1 + LOG (n) -LOG (1 + n)) + 1) <n+1 to define the integer part
but n#((n * (1 + LOG (n) -LOG (1 + n)) + 1).

et and I can demonstrate that n<((n * (1 + LOG (n) -LOG (1 + n)) + 1) <n+1 So I can't define the integer part.  6. By definition if n<x<n+1 then the integer part of x is n. Therefore you are done.  Bookmarks
 Posting Permissions
 You may not post new threads You may not post replies You may not post attachments You may not edit your posts   BB code is On Smilies are On [IMG] code is On [VIDEO] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are On Terms of Use Agreement