Name: Anonymous 2009-01-10 15:41
(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?
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?