Evaluate lim x- a x 7 - a 7 x - a -

Let L=lim _ x→ a x ^ 7 a ^ 7 x ^ #160; a ^ #160; #160; The expression takes the form 00. Using L hospitals Rule, L=lim _ x→ a 7x^6 1= ...

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Factorization Method Form to Remove Indeterminate Form

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Question

Evaluate $lim x \to a \frac{x^{7} - a^{7}}{x - a}$ .

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