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Here is my question. Using the definition of limits, prove that the function $f(x)= \left \lfloor x \right \rfloor$ is discontinuous at every integer.

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    That's not a question; it's a command. It looks like it might be a verbatim quote of a homework exercise, in which case: What have you tried? Do you know the definition of $\lfloor x\rfloor$? Do you know the definition of (dis)continuous? Limits?2012-09-21

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