lim_(x rarr0)(2^(3x)-1)/(3^(2x)-1)

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Evaluate: lim_(x rarr 0) (2^(3x)-1)/(3^(2x)-1)

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Evaluate : lim_(x rarr0)(a^(2x)-1)/(x)

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

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find the the value of lim_(x rarr 0) (e^(3x)-1)/(2x) and lim_(x rarr 0) log(1+4x)/(3x)