Limx - 0-1-cos2x-2x is

The correct option is D does not exist [ lim #160; #160;_ x→ 0 √( 1 cos #160; 2x ) #160; /√( 2 ) x ...

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Real Valued Functions

limx → 0√1-co...

Question

$l i m_{x \to 0} \frac{\sqrt{1 - c o s 2 x}}{\sqrt{2} x}$ is

λ

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-1

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zero

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does not exist

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Solution

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Similar questions

$lim x \to 0 \frac{\sqrt{1 - c o s 2 x}}{\sqrt{2} x}$ is

(JEE 2002)

lim x \to 0 \frac{\sqrt{1 - cos 2 x}}{\sqrt{2} x}

lim x \to 0 \frac{\sqrt{1 - cos 2 x}}{x}

| sin x | = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} sin x; & 0 < x < \frac{π}{2} - sin x; & - \frac{π}{2} < x < 0 \end{matrix}

lim x \to 0 \frac{\sqrt{1 - cos 2 x}}{x}

f (x) = \frac{\sqrt{1 - cos 2 x}}{x}

x = 0

f (x) = {x + λ, x < 1,

2 x - 3, x \geq 1,

lim x \to 1 f (x)

λ

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