#### Answer

$81$

#### 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.
$\lim_\limits {x \to -2}(x^2+x+1)^4 =((-2)^2+(-2)+1)^4$
or, $=81$