Answer
$80$
Work Step by Step
Use the limit properties:
$(1) \ \lim\limits_{x \to a} l(x)=l (a) \\ (2) \lim\limits_{x \to a} k(x) l(x)=\lim\limits_{x \to a} k(x) \cdot \lim\limits_{x \to a} l(x)$
where $a$ is a constant.
$\lim\limits_{x \to 2} (5x^4)=\lim\limits_{x \to 2} (5) \cdot \lim\limits_{x \to 2} (x^4) \\=(5)(2)^4\\=(5)(16)\\=80$