Compute a limit without L'Hopital's rule – math.stackexchange.com

Compute a limit without L'Hopital's rule – math.stackexchange.com

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I would want to know how we can compute the following limit by using only fundamental limits. $$\lim_{x \to a} \dfrac{a^x-x^a}{x-a},$$ where $a$ is a positive real number. My idea was to use a ...

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