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## Homework Statement

Is the function f(x) = x * sin(1/x) for x =/= 0 and f(0) = 0 unifoirmly continuous on R?

## Homework Equations

## The Attempt at a Solution

dom(f) = (-inf, inf)

x,y in R and |x-y| < d imply |f(x) - f(y)| < e

|x - 0| < d imply |x * sin(1/x) - 0 | < e

?