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12. limits — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS12. limits1 Mark
MCQ
$\mathop {\lim }\limits_{x \to 0} \frac{{|x|}}{x} = $
  • A
    $1$
  • B
    $-1$
  • C
    $0$
  • ✓
    Does not exist
✓

Answer

Correct option: D.
Does not exist
d
(d) Since $\mathop {\lim }\limits_{x \to 0 - } \,\,\frac{{|\,\,x\,\,|}}{x} = - 1$ and $\mathop {\lim }\limits_{x \to 0 + } \,\,\frac{{|\,\,x\,\,|}}{x} = 1,$

hence limit does not exist.

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