Answer
$\dfrac{5}{6}$
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.
$\lim_\limits{x\to 5} \dfrac{x}{x+1}=\dfrac{\lim_\limits{x\to 5} x}{\lim_\limits{x\to 5} (x+1)}=\dfrac{5}{6}$
