Explaining discontinuity in a greatest integer function

  • Thread starter Deathfish
  • Start date
  • #1
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Homework Statement
Find the numbers, if any, where the function is discontinuous.

f(x) = [[x - 2]]

The attempt at a solution

function is discontinuous for all integer values of x.

I know that this is the obvious answer, however I am required to explain this in clear mathematical style, methodically explaining why this is so. Also I am not sure if this is the correct notation for presenting the answer. Anyone can help me out?
 

Answers and Replies

  • #2
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Hi Deathfish! :smile:

There are several (equivalent) ways to show continuity/discontinuity. Which ones have you seen and which do you prefer?
 

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