Prove that sin (n^2) + sin (n^3) is not a convergent

1. Nov 9, 2007

Kummer

Prove that $$\sin (n^2) + \sin (n^3)$$ is not a convergent sequence.

2. Nov 11, 2007

quasar987

Unpleasant!

3. Nov 11, 2007

mathwonk

how about just sin(n). thats already interesting. as opposed to sin(pi n) for example.

4. Nov 12, 2007

Kummer

I believe that is easier. Consider n=3,31,314,3141,31415,...