Answer
$15$
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.
$\lim_\limits {x \to 4}(2x^2-5x+3) =2(4)^2-(5)(4)+3$
or, $\lim_\limits {x \to 4}(2x^2-5x+3) =15$