Answer
$\lim\limits_{x \to 1}{(f(x)-g(x))} =5$
Work Step by Step
$\lim\limits_{x \to 1}{(f(x)-g(x))}$
Difference:
$\lim\limits_{x \to 1}{(f(x)-g(x))} = \lim\limits_{x \to 1}{f(x)} - \lim\limits_{x \to 1}{g(x)}$
We know that $ \lim\limits_{x \to 1}{f(x)} = 8$ and $ \lim\limits_{x \to 1}{g(x)} = 3$
$\lim\limits_{x \to 1}{(f(x)-g(x))} = \lim\limits_{x \to 1}{f(x)} - \lim\limits_{x \to 1}{g(x)}=8-3=5$
