Here's a tricky one:
I need to disprove that the function [f(x)=sum( sin(2*Pi*(x+1)/n) / (n*sin(Pi*x/n)*sin((x+2)*Pi/n), n=2..trunc(squareroot(x))
=0] in every open interval (k, k+1) for large enough k and forever after. How?
Last edited by AlexBot; Nov 10th 2010 at 06:16 AM.
Here's a tricky one:
I need to disprove that the function [f(x)=sum(sin(2*Pi*(x+1)/n)/(n*sin(Pi*x/n)*sin((x+2)*Pi/n), n=2..trunc(sqrt(x))
=0] in every open interval (k, k+1) for large enough k and forever after. How?
?
What is the truncation function? The floor function?