need more help.... (Crying)

Let d : R R R be given by d(x,y) := |arctan x - arctan y|.

(a) Show that (R,d) is a metric space.

(b) Find (1).

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- Sep 25th 2009, 04:57 PMthaopandaProve a metric space
need more help.... (Crying)

Let d : R R R be given by d(x,y) := |arctan x - arctan y|.

(a) Show that (R,d) is a metric space.

(b) Find (1). - Sep 25th 2009, 05:12 PMgalactus
Here is a start:

approaches 0 as

Think about . - Sep 27th 2009, 09:33 AMthaopanda
I don't really get where you got that equation. I figure as much as the triangle inequality that I need to prove, but I'm lost otherwise....

- Sep 27th 2009, 09:53 AMPlato