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f(x) = [x–5] + [5–x] here [x] denotes greatest integer function, is continuous on

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Detailed Solution

$f (x) = [x - 5] + [5 - x] = \{\begin{cases} 0 if & x \in z \\ - 1 if & x \notin z \end{cases} ∴ f (x) is continuous for all non integers \Rightarrow f (x) is continuous in R - Z$

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