D: HALP GAIZ!

(Sorry if I'm not supposed to post homework here or something.)

My Analysis prof gives hard problems as extra-credit sometimes, and he gave this one during our first class of the semester yesterday.  I can't get anywhere with it. :(  It looks like it should be totally easy, but I'm not seeing it.  I just have to prove that the sequence {sin(1), sin(4), sin(9), ...} doesn't converge. The numbers 1,4,9... are the integer squares.

Anyone have any ideas?

>>8

It actually meant I haven't got the time to waste on it. In terms of the specific case of pi, I seem to remember there's some rather nice general continued fractions expansions of pi that follow a highly regular pattern involving square numbers.

Whilst i didn't think continued fractions would be the way to go either, it's always possible.