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Question

$$\underset { x\rightarrow a }{ lim }\dfrac{x^n-a^n}{x-a}$$


Solution

$$\lim_{x\to a}\dfrac{x^n-a^n}{x-a}$$
The expression takes the form of $$\dfrac 00$$
$$\lim_{x \to a}nx^{n-1}=na^{n-1}$$

Mathematics

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