Exponentials Vs. Polynomials In A Limit

Calculus Level 1

limx03x2xx \large \lim_{x\to0} \dfrac{3^x-2^x} x

If the value of the limit above can be expressed as ln(ab) \ln \left( \dfrac ab\right) , where aa and bb are coprime positive integers, find a+ba+b.

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