Limx- 0-1-x-1-x-1-x2-1-x2 equals to

The correct option is A ∞ lim_x→ 0^+√(1+x) √(1 x)/√(1+x^2) √(1 x^2) =lim_x→ 0^+(√(1+x) √(1 x)).√(1+x)+√(1 x)/√(1+x)+√(1 x)1/√(1+x^2) √(1 x^2).√( ...

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Rationalization Method to Remove Indeterminate Form

limx→ 0+√1+x-...

Question

$lim x \to 0^{+} \frac{\sqrt{1 + x} - \sqrt{1 - x}}{\sqrt{1 + x^{2}} - \sqrt{1 - x^{2}}}$ equals to

1

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\frac{1}{2}

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\infty

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0

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