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STD 11 - 12. limits — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 12. limits4 Marks
MCQ
$\mathop {\lim }\limits_{x \to \infty } \frac{{(2x - 3)(3x - 4)}}{{(4x - 5)(5x - 6)}} = $
  • A
    $0$
  • B
    $\frac{1}{{10}}$.
  • C
    $\frac{1}{{5}}$.
  • ✓
    $\frac{3}{{10}}$.
✓

Answer

Correct option: D.
$\frac{3}{{10}}$.
d
(d) $\mathop {\lim }\limits_{x \to \infty } \,\,\frac{{(2x - 3)\,\,(3x - 4)}}{{(4x - 5)\,\,(5x - 6)}}$

$= \mathop {\lim }\limits_{x \to \infty } \,\,\frac{{{x^2}\left( {2 - \frac{3}{3}\,} \right)\,\left( {3 - \frac{4}{x}} \right)}}{{{x^2}\left( {4 - \frac{5}{x}} \right)\,\left( {5 - \frac{6}{x}} \right)}} = \frac{6}{{20}} = \frac{3}{{10}}$

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