/sci/ - Science & Math

>>11491251
Use the fact that [math]f(y) = d(x, y)[/math] is a continuous function. It then follows trivially.
>how do I prove it's continuous
You use triangle.
>>11491749
Pretty sure you can't. [math]\cos n[/math] gets arbitrarily next to zero, so you take a sequence like 1/2^n and just keep pushing the individual elements further back to that they fall somewhere where [math](1/2)^n / \cos j >1[/math]. Then the sum explodes.