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Limits and Derivatives — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLimits and Derivatives1 Mark
MCQ
What is the value of $\lim_{\text{y} \rightarrow \frac{\pi}{2}}\frac{\text{sin}}{\text{x}} ?$
  • ✓
    $\frac{2}{π}$
  • B
    $\frac{π}{2}$
  • C
    $1$
  • D
    $0$
✓

Answer

Correct option: A.
$\frac{2}{π}$
$ \sin \frac{⁡π}{2} = 1$
$\lim_{\text{y} \rightarrow \frac{\pi}{2}}\frac{\text{sin}}{\text{x}}=\frac{\sin\frac{\pi}{2}}{\frac{pi}{2}}$
$=\frac{1}{\frac{\pi}{2}}$
$ = \frac{2}{π}$

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