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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{\theta \rightarrow \frac{\pi}{2}} \frac{\frac{\pi}{2}-\theta}{\cot \theta}=$
  • A
    $0$
  • B
    -1
  • ✓
    1
  • D
    $\infty$
✓

Answer

Correct option: C.
1
(C)
Applying L-Hospital's rule, we get
$\lim _{\theta \rightarrow \frac{\pi}{2}} \frac{\frac{\pi}{2}-\theta}{\cot \theta}=\lim _{\theta \rightarrow \frac{\pi}{2}} \frac{-1}{-\operatorname{cosec}^2 \theta}=1$

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