Answer
$2$
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.
$\lim_\limits {x \to 5} \dfrac{11x-3}{x^2+1}=\dfrac{11(5)-3}{(5)^2+1}$
or, $=2$
