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12. limits — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS12. limits1 Mark
MCQ
If $n$ is an integer, then $\mathop {\lim }\limits_{x \to n + 0} (x - [n]) = $
  • ✓
    $0$
  • B
    $1$
  • C
    $-1$
  • D
    None of these
✓

Answer

Correct option: A.
$0$
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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