Answer
a) $-10$
b) $-10$
c) $-10$
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.
a) $\lim_\limits{x\to -5^{-}} (x-5)=-5-5=-10$
b) $\lim_\limits{x\to -5^{+}} (x-5)=-5-5=-10$
c) From part (a) and (b) $\lim_\limits{x\to -5^{-}} (x-5)=\lim_\limits{x\to -5^{+}} (x-5)=-10$
