need more help.... 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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Here is a start: approaches 0 as Think about .
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....
Originally Posted by thaopanda Let d : R R R be given by d(x,y) := |arctan x - arctan y|. (a) Show that (R,d) is a metric space. To do that, you need to show that is a metric. That is simple if you note that is an injection.
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