find
lim [ g(x) - f(x)
x -> 5
for f(x) = 4x^3 and g(x) = 'squareroot' x^2 + 5 / 3x^2
a. 'squareroot' 30/ 75 -500
b. 'squareroot' 6 / 3 + 500
c. 20 'squareroot' 30 / 3
d. 'squareroot' 6 / 3 -500
e. limit does not exist
g(x) as x -> 5 = √ [5^2 + 5] / [3(5)^2] = √30/ 75
f(x) as x -> 5 = 4(5)^3 = 500
So
lim [ g(x) - f(x) = √30/ 75 - 500 → answer "a"