Limx - 1-x2 - 1 - -x-1-x2 - 1 is equal to-

The correct option is C 1 +1/√(2) We have lim_x → 1^+√(x^2 1) + √(x 1)/√(x^2 1) =lim_x → 1^+√(x 1)(√(x + 1) + 1)/√(x 1)√(x + 1) = n ...

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Factorization Method Form to Remove Indeterminate Form

limx → 1+√x2 ...

Question

$lim x \to 1^{+} \frac{\sqrt{x^{2} - 1} + \sqrt{x - 1}}{\sqrt{x^{2} - 1}}$ is equal to?

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

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

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2

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

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Solution

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