@fermatslibrary IT'S NOT 4 NARROWED IT DOWN 4 U
@fermatslibrary @neilchriss in case you're bored during your quarantine...
@fermatslibrary what the hell, it OBVIOUSLY converges. QED, take that, math
@fermatslibrary That will converge because sin^2 n tends to 1 As it approaches 1, the terms approximate the terms of zeta(3). The sum S is greater than zeta(2) S > pi^2 /6 #math @nattyover @wtgowers @LondMathSoc
@fermatslibrary Wolfram Alpha seems to think it is finite... but that's not a proof sum_(x=1)^∞ (csc^2(x))/x^3≈4.80672
@fermatslibrary Would have liked the sin squared to be in numerator :)
@fermatslibrary The only way this might not converge if for some "n" sin square is zero. For that "n" have to be some multiple of pi. If any such "n" existed, it would make pi a rational number Which is not possible means no such "n" exists. sin square is always non-zero.