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

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 12. limits4 Marks
MCQ
The value of $\mathop {\lim }\limits_{x \to \infty } \left( {\frac{{{x^2} + bx + 4}}{{{x^2} + ax + 5}}} \right)$ is
  • A
    $b/a$
  • ✓
    $1$
  • C
    $0$
  • D
    $4/5$
✓

Answer

Correct option: B.
$1$
b
(b)$\mathop {\lim }\limits_{x \to \infty } \,\left[ {\frac{{1 + \frac{b}{x} + \frac{4}{{{x^2}}}}}{{1 + \frac{a}{x} + \frac{5}{{{x^2}}}}}} \right] = 1.$

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