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12. limits — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS12. limits1 Mark
MCQ
$\mathop {\lim }\limits_{\theta \to \frac{\pi }{2}} \frac{{\frac{\pi }{2} - \theta }}{{\cot \theta }} =$
  • A
    $0$
  • B
    $-1$
  • ✓
    $1$
  • D
    $\infty $
✓

Answer

Correct option: C.
$1$
c
(c) Using  $ L-$ Hospital's rule, $\mathop {\lim }\limits_{\theta \to \frac{\pi }{2}} \frac{{ - 1}}{{ - {\rm{cose}}{{\rm{c}}^{\rm{2}}}\theta }} = 1$.

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