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 \(a+b\).
by
Jose Sacramento