- #1
ArixII
- 7
- 0
Hi,
in this forum post, exactly at #4:
https://www.physicsforums.com/showthread.php?t=52795"
after a clarification for uniformly continuous function, it is written that:
"...For example, [tex]f(x)=\frac{1}{x}[/tex] is contiuous, but not uniformly continuous on the interval [tex] (0,+\infty) [/tex]"
I failed to prove it :(
Could anyone please give me a clue, how to prove that this function is not uniformly continuous on the given interval?
in this forum post, exactly at #4:
https://www.physicsforums.com/showthread.php?t=52795"
after a clarification for uniformly continuous function, it is written that:
"...For example, [tex]f(x)=\frac{1}{x}[/tex] is contiuous, but not uniformly continuous on the interval [tex] (0,+\infty) [/tex]"
I failed to prove it :(
Could anyone please give me a clue, how to prove that this function is not uniformly continuous on the given interval?
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