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li(x rarr0)((1+x)^(3/2)-1)/(x)=(3)/(2)...

li_(x rarr0)((1+x)^(3/2)-1)/(x)=(3)/(2)

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Use formula lim_(x rarr0)(a^(x)-1)/(x)=log(a) to find lim_(x rarr0)(2^(x)-1)/((1+x)^((1)/(2))-1)