Q82 / 225 · JEE Main 2002 · Mathematics

Figure

  • Correct answer
    A
    1
  • B
    -1
  • C
    zero
  • D
    does not exist

Solution

$$ \operatorname{Lim}_{x \rightarrow 0} \frac{\sqrt{1-\cos 2 x}}{\sqrt{2} x} \Rightarrow \operatorname{Lim}_{x \rightarrow 0} \frac{\sqrt{1-\left(1-2 \sin ^2 x\right)}}{\sqrt{2} x} ; \operatorname{Lim}_{x \rightarrow 0} \frac{\sqrt{2 \sin ^2 x}}{\sqrt{2} x} \Rightarrow \operatorname{Lim}_{x \rightarrow 0} \frac{|\sin x|}{x} $$ the function does not exist or $\mathrm{LHS} \neq \mathrm{RHS}$

Hence, the correct answer is option: 'A'.

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