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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{{\sin ax}}{{\sin bx}} = $
  • ✓
    $a/b$
  • B
    $b/a$
  • C
    $1$
  • D
    None of these
✓

Answer

Correct option: A.
$a/b$
a
(a) $\mathop {\lim }\limits_{x \to 0} \,\,\frac{{\sin ax}}{{\sin bx}} = \mathop {\lim }\limits_{x \to 0} \,\,\frac{a}{b}\frac{{\sin ax}}{{ax}}\frac{{bx}}{{\sin bx}} = \frac{a}{b}$.

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