Answer
$\dfrac{-1}{25}$
Work Step by Step
Recall that if $ f $ is a polynomial function, then we have $\lim_\limits{x\to a}f(x)=f(a)$.
In order to to find the limit, we will plug $ a $ into the function and then simplify.
$\lim_\limits {x \to 0} \dfrac{5-5-x}{5x(x+5)}=\lim_\limits {x \to 0} \dfrac{-1}{5(x+5)}$
or, $=\dfrac{-1}{25}$
