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12. limits — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS12. limits1 Mark
MCQ
$\mathop {\lim }\limits_{x \to 1} \frac{{(2x - 3)(\sqrt x - 1)}}{{2{x^2} + x - 3}} = $
  • ✓
    $-1/10$
  • B
    $1/10$
  • C
    $-1/8$
  • D
    None of these
✓

Answer

Correct option: A.
$-1/10$
a
(a) $\mathop {\lim }\limits_{x \to 1} \,\,\frac{{(2x - 3)\,(\sqrt x - 1) \times (\sqrt x + 1)}}{{(x - 1)\,(2x + 3) \times (\sqrt x + 1)}} = \frac{{ - 1}}{{5\,.\,2}} = \frac{{ - 1}}{{10}}.$

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