Answer
$1000$
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.
$\lim_\limits {x \to -3}(x^2+1)^3 =(9+1)^3$
or, $=1000$