Answer
$169$
Work Step by Step
Recall that if $f$ is a polynomial, then $\lim_\limits{x\to a}f(x)=f(a)$. Thus, we can find the limit by plugging $a$ into the function and simplifying: $$\lim_\limits{x\to2}(2x^2+3x-1)^2=(2(2)^2+3(2)-1)^2=13^2=169$$