Which of the following is true?

1
\( ​\displaystyle\lim_{x \rightarrow 0}\left(\frac{\text{a}^{x}−1}{\text{a}}\right) \) = logea
2
\( \displaystyle\lim_{x \rightarrow 0}\left(\frac{a^{x}−1}{x}\right) \) = logea
3
\( \displaystyle\lim_{x \rightarrow 0}\left(\frac{\text{a}^{x}−1}{x}\right) \) = 0
4
\( ​\displaystyle\lim_{x \rightarrow 0}\left(\frac{\text{e}^{x}−1}{x}\right) \) → ∞

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