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Zeta sine (Posted on 2018-10-28) Difficulty: 4 of 5
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    
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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
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