If limx→01+x2- 1-x+x23x-1 is equal to logae, then the value of a is

Question

\lim_{x \to 0} \frac{\sqrt{1 + x^{2}} - \sqrt{1 - x + x^{2}}}{3^{x} - 1}

is equal to

\log_{a} e,

then the value of

a

Correct Answer

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