Calculating limits. Am I correct? (with working)

Calculating limits. Am I correct? (with working)

This is my working for the first two questions (i and ii). Does anyone
know how to work out iii? Also, is my working correct? Any feedback is
appreciated. I also did a rough calculation of iii and I think the answer
is supposed to be 5 but I'm not too sure of the working.
(i) We are finding the limit as x approaches -2. According to the system
of equations, we should look at where it says -2 ¡Ü x ¡Ü 3 because x is
approaching -2 and -2 fits into this system. So Ix^2 - 4I if -2 ¡Ü x ¡Ü 3
is what we're looking at. What we're finding is the limit if x approaches
-2. So let's replace x with -2. Ix^2 - 4I I(-2)^2 - 4I I(4) - 4I I0I 0 lim
f(x) as x app. -2 = 0.
(ii) lim f(x) as x app. 2. This fits into Ix^2 - 4I if -2 ¡Ü x ¡Ü 3. Same
reasoning as above. After it says if, it says if -2 ¡Ü x ¡Ü 3 and if we
replace 2 for x here it makes sense. So now we replace 2 for x where it
says Ix^2 - 4I. Ix^2 - 4I I(2)^2 - 4I I(4) - 4I I0I 0 lim f(x) as x app. 2
= 0.