Mathematics Limit and Continuity Evaluation of Limits

\(\displaystyle\lim_{x\rightarrow 0} \dfrac{a^x-b^x}{e^x-1}\) is equal to :

1
\(\log \left(\dfrac{a}{b}\right)\)
2
\(\log \left(\dfrac{b}{a}\right)\)
3
log (a, b)
4
log (a + b)

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