Find-lim-x-b-b-x-x-b-x-b-

Question Number 160282 by HongKing last updated on 27/Nov/21

Find : \lim_{x \to b} \frac{b^{x} - x^{b}}{x - b}

Answered by puissant last updated on 27/Nov/21

= \lim_{x \to b} \frac{l n (b) b^{x} - {b x}^{b - 1}}{1} = b^{b} l n b - {b b}^{b - 1} = b^{b} (l n b - 1)

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