Prove that- limx - axn-anx-a-nan-1- for all n - N- a - 0-

lim _x→ a(x^n a^nx a) Apply L Hospital's rule =lim _x→ a(nx^n 11) =lim _x→ a(nx^n 1) =na^n 1 ...

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Existence of Limit

Prove that, ...

Question

Prove that, $lim x \to a \frac{x^{n} - a^{n}}{x - a} = n a^{n - 1}$ , for all $n \in N, a > 0$ .

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