MCQ
$\mathop {\lim }\limits_{x \to 0} \frac{{\sqrt {1 + x} - \sqrt {1 - x} }}{{{{\sin }^{ - 1}}x}} = $
- A$2$
- ✓$1$
- C$-1$
- DNone of these
So $\mathop {\lim }\limits_{y \to 0} \frac{{\sqrt {1 + \sin y} - \sqrt {1 - \sin y} }}{y}$
$(\because \,\,\,x \to 0 \Rightarrow y \to 0)$
$( $ Now multiply it by $\frac{\sqrt{1+\sin y}+\sqrt{1-\sin y}}{\sqrt{1+\sin y}+\sqrt{1-\sin y}}$ and solve $) $
$= 1$
Aliter : Apply $ L-$ Hospital’s rule.
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