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