Original post: If $f(x)$ is continuous and bounded on $(0,1)$, is it uniformly continuous on $(0,1)$?
I was just wondering if the result would be the same if one considered a different interval from (0, 1)? Say (1, 2)?
Thanks
2026-03-25 16:03:24.1774454604
Follow-up question: what if the interval is not (0, 1)? Say (1, 2)?
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