Limit of exponential difference quotient

Find the limit of $\frac{a ^{x} - b ^{x}}{x}$ as $x \to 0$ .

~5 minAnswer checked instantlylimitsexponential functionsderivatives

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XX. Limiting Values and Vanishing Fractions, Examples XX, No. 8

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).