given that

lim f(x) = 5
x->x
and
lim g(x) = -7
x -> c
find
lim [f(x)+g(x)]^2
x-> c

a. limit does not exist
b. -175
c. 4
d. 245
e. -70

after I took care of your typo

x --> x ?? , should be x --> c

clearly we just have
(5 - 7)^2
= 4