Answer
Thus, both limits represent the value that $f$ takes near $a$, whether that be a real number of nonexistant.
Work Step by Step
$\lim_{x \to 0} f(x+a)$ represents the value that $f$ takes near $a$ with $x$ approaching $0$ in the limit.
Similarly, $\lim_{x \to a} f(x)$ represents the value that $f$ takes near $a$, this time with $x$ approaching $a$ directly in the limit.
