Answer
$1125$
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.
$\lim_\limits{x\to 2} [(x+1)^2(3x-1)^3]=[\lim_\limits{x\to 2} (x+1)^2] \times \lim_\limits{x\to 2} [(3x-1)^3]$
or, $= (3)^2 \times (5)^2 $
or, $= 1125$
