Answer
$\infty$
Work Step by Step
Our aim is to compute the value of $\lim\limits_{x \to +\infty} 4e^{3x}+12$.
Here, we need to use the formula of:
$\lim \limits_{x\to a}f(x)=f(a)$, this implies that:
$\lim\limits_{x \to +\infty} 4e^{3x}+12=4e^{3(\infty)}+12 \\=(4)(+\infty)+12 \\=\infty$