lim_x→ ax^n a^nx a The expression takes the form of 00 lim_x → anx^n 1=na^n 1 ...

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x→ a lim xn-a...

Question

$l i m x \to a \frac{x^{n} - a^{n}}{x - a}$

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Solution

${lim}_{x \to a} \frac{x^{n} - a^{n}}{x - a}$
The expression takes the form of $\frac{0}{0}$
${lim}_{x \to a} n x^{n - 1} = n a^{n - 1}$

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