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Q.limx0x(1+x1)(1+x1)x2\displaystyle \lim_{x \to 0} \frac{x(\sqrt{1 + x} - 1) - (\sqrt{1 + x} - 1)}{x^2} equals

a
14\dfrac{1}{4}
b
14\dfrac{-1}{4}
c
00
d
12\dfrac{1}{2}

Correct Answer: Option B

The correct solution involves applying the fundamental concept to derive the final value step by step...

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