I know what the answer is (according to all resources I checked, it should be a). However I have no clue how to get to it without using L'Hopital.

\(\displaystyle $$\lim_{x\to\1} \frac{x^a - 1}{x-1}$$ \) \(\displaystyle , $a\in$\mathbb{R}$ , a \geq 0 \)

Thanks in advance.

Edit: should've probably said that \(\displaystyle a\in$\mathbb{R}$ \), and is not just integers.

\(\displaystyle $$\lim_{x\to\1} \frac{x^a - 1}{x-1}$$ \) \(\displaystyle , $a\in$\mathbb{R}$ , a \geq 0 \)

Thanks in advance.

Edit: should've probably said that \(\displaystyle a\in$\mathbb{R}$ \), and is not just integers.

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