# Chapter 11 - Section 11.2 - Finding Limits Using Properties of Limits - Exercise Set - Page 1153: 17

$\dfrac{5}{6}$

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

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