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Evaluate: lim(x→0) ((2^x – 1)/(√(1 + x) – 1))

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Evaluate: lim(x→0)  ((2x – 1)/(√(1 + x) – 1))

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Limit = lim(x→0) ((2x – 1)/(√(1 + x) – 1))

= lim(x→0) ((2x – 1)/x × (√(1 + x) + 1))

= 2 log 2

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