Answer :
Answer:
The limit is 5
Step-by-step explanation:
A limit exists if the one-sided limits are equal. So we analyze the limit by approaching it from both the left and the right.
From the left: [tex]\lim_{x \to \--1} F(x) = \lim_{x \to \--1} (4-x) = 4-(-1) = 5[/tex]
From the right: [tex]\lim_{x \to \--1} F(x) = \lim_{x \to \--1} (x+6) = -1+6 = 5[/tex]
At x= -1 itself: F(x) = 5
Since the limits when approaching from the left and right match, the limit does exist. Thus we conclude that the limit of f of x as x approaches negative 1 is five.