03/09/2008, 01:16 PM

Ivars Wrote:Quote: one can see numerically that in the limit for some constant .

As far as I did it (1850 terms), nothing is constant-You mean you replaced small difference of sin from -1 with an argument?

But as sin argument nears n*(3pi/2), can You do it?

As I see it since teta(n+1)-teta(n) = 1 when n-> infinity, there shall be no differences between teta(n) and n integer part.

There can not be one also in reals, since limit n->infinity is 1.

So this constant seems suspicious to me-or may be I misunderstood something.

Whats not clear about this?

Just compute with . You see numerically that and that means that in the limit.