_ x 1 (2x - 3)( x - 1) 2 x^2 + x - 3 =

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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