Q, Find , lim x → 0 23x - 1 /2x

limx→023x-12x=limx→032×23x-13x=32limx→023x-13xUsing limx→0ax-1x=ln a=32ln 2

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Q, Find , $\lim_{x \to 0}$ 2^3x - 1 /2x

\lim_{x \to 0} \frac{2^{3 x} - 1}{2 x} = \lim_{x \to 0} \frac{3}{2} \times \frac{2^{3 x} - 1}{3 x} = \frac{3}{2} \lim_{x \to 0} \frac{2^{3 x} - 1}{3 x} (U \sin g \lim_{x \to 0} \frac{a^{x} - 1}{x} = \ln a) = \frac{3}{2} \ln 2

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