Question
If $n$ is an integer, then $\mathop {\lim }\limits_{x \to n + 0} (x - [n]) = $

Answer

a
(a) $\mathop {\lim }\limits_{x \to n + 0} \,(x - [n]) = \mathop {\lim x}\limits_{x \to n + 0} \, - \mathop {\lim \,[n]}\limits_{x \to n + 0} \, = n - n = 0$.

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