Question

Lim x tends to 0 a^x-b^x/x

Answer 1

Convert aˣ and bˣ into eˣˡᵒᵍᵃ and eˣˡᵒᵍᵇ and then by multiplying denominator with required terms and doing some usual addition and substraction in the numerator you will be able to apply the formula lim x->0 (eˣ-1)/x = 1

The answer will be loga-logb

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