Evaluate: (lim)x0(1+x)21−12x−1

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Evaluate: {({lim})}_{{{x}{{0}}}}{{{2}^{{x}}-{1}}}{{{({1}+{x})}

Question

Evaluate: $(lim)_{x 0} \frac{2 ^{x} - 1}{( 1 + x ) ^{\frac{1}{2}} - 1}$

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(lim)_{x 0} \frac{2 ^{x} - 1}{( 1 + x ) ^{\frac{1}{2}} - 1}

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Question Text

Evaluate:

(lim)_{x 0} \frac{2 ^{x} - 1}{( 1 + x ) ^{\frac{1}{2}} - 1}