Find the value of limx- 0-2-x-2-x-x-

The correct option is C 1√(2) lim_x→ 0√(2+x) √(2 x)/x Rationalizing the numerator. =lim_x→ 0√(2+x) √(2 x)/x×√(2+x)+√(2 x)/√(2+x)+√(2 x) =lim ...

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Rationalization Method to Remove Indeterminate Form

Find the valu...

Question

Find the value of $lim x \to 0 \frac{\sqrt{2 + x} - \sqrt{2 - x}}{x}$ .

\frac{1}{2 \sqrt{2}}

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\sqrt{2}

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\frac{1}{\sqrt{2}}

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\frac{1}{2}

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