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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(4): Solution (spoiler) Comment 6 of 6 |
(In reply to re(3): Solution (spoiler) by Charlie)

 
 pi = Atn(1) * 4
 
 x = 1.32779 + 2 * pi
 For k = 1 To 100
   tot = tot + Sin(k * x) / k ^ 3
 Next k

verifies that the Wolfram Alpha evaluation does indeed match the summation and that the value is periodic with period 2pi and the maximum is good to six decimals.

  Posted by Charlie on 2018-10-31 15:01:49
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