Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
a limit curiosity ? Pi/2

Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Thread Modes
a limit curiosity ? Pi/2
tommy1729 Offline
Ultimate Fellow
*****
Posts: 1,358
Threads: 330
Joined: Feb 2009
#1
08/07/2012, 09:27 PM (This post was last modified: 08/07/2012, 09:42 PM by tommy1729.)
It seems

lim x -> +oo
sum( (-1)^i * x^(2*i-1)/( factorial(2*i)*ln(2*i) ) , i = 1 .. oo)
+(1/2)*Pi = 0

or in tex



how to prove it ?

regards

tommy1729
Website Find
Reply


Possibly Related Threads...
Thread Author Replies Views Last Post
  Dangerous limits ... Tommy's limit paradox tommy1729 0 1,722 11/27/2015, 12:36 AM
Last Post: tommy1729
  tetration limit ?? tommy1729 40 43,289 06/15/2015, 01:00 AM
Last Post: sheldonison
  Limit of mean of Iterations of f(x)=(ln(x);x>0,ln(-x) x<0) =-Omega constant for all x Ivars 10 13,739 03/29/2015, 08:02 PM
Last Post: tommy1729
  Another limit tommy1729 0 1,434 03/18/2015, 06:55 PM
Last Post: tommy1729
  A limit exercise with Ei and slog. tommy1729 0 1,788 09/09/2014, 08:00 PM
Last Post: tommy1729
  [MSE] The mick tommy limit conjecture. tommy1729 1 2,373 03/30/2014, 11:22 PM
Last Post: tommy1729
  tetration base conversion, and sexp/slog limit equations sheldonison 44 50,812 02/27/2013, 07:05 PM
Last Post: sheldonison
  Solve this limit Nasser 4 4,300 12/03/2012, 07:46 AM
Last Post: Nasser
  (MSE) A limit- question concerning base-change Gottfried 0 2,210 10/03/2012, 06:44 PM
Last Post: Gottfried
  Question about tetration limit mike3 3 4,961 07/13/2011, 12:51 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)