Answer
$1$
Work Step by Step
We are given the function:
$f(x)=\dfrac{6^x-3^x}{x\ln 2}$.
In order to determine $\lim\limits_{x \to 0} f(x)$, we graph $f(x)$ and use zoom and trace features to approximate the limit.
We got:
$\lim\limits_{x \to 0} \dfrac{6^x-3^x}{x\ln 2}=1$
