All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Zeta sine (Posted on 2018-10-28)
What is the maximum value of the expression below?

sin x / 13 + sin 2x / 23 + sin 3x / 33 + ...

 No Solution Yet Submitted by Danish Ahmed Khan No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Solution (spoiler) | Comment 2 of 6 |
(In reply to Solution (spoiler) by JayDeeKay)

Does this proof show that the sum actually reaches Apery's constant? Even if it never exceeded, say, .12, the formula would still satisfy the inequalities.

If values of, say, .1202 were shown, that would be somewhat convincing that Apery's number could be achieved, perhaps only as a limit, perhaps as an achievable value for some finite real value of x.

 Posted by Charlie on 2018-10-31 11:26:41
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (4)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information