Exponentials Vs. Polynomials In A Limit

Calculus Level 1

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

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

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