Question

find the limit as x approaches 4 from the right of (sqrt(x-4))/x
a) -1
b) 0
c) 2
d) 1
e) does not exist

Answer 1

\[\lim_{x \rightarrow 4^{+}}\frac{ \sqrt{x-4} }{ x }\]

Answer 2

I'm thinking you can afford to just set x = 4 to get it
since any positive value above 4, that is
11, 10, 9, 8, 7, 6 and 5
will give you a valid root anyway

Answer 3

good point, check the domain of the thing first