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## Homework Statement

If d= sup{|f(x)-g(x)|} where f, g are contuous function from R to R, why is d not a metric

- Thread starter happybear
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If d= sup{|f(x)-g(x)|} where f, g are contuous function from R to R, why is d not a metric

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quasar987

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Take f(x)=x, g(x)=0. then d(f,g)=infinity. So d is not a map into **R**.

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why infinity is not a map into R?

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quasar987

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