Question

if limx-->0(4-g(x)/x=1find limx--->0g(x)

Answer 1

lim(4-g(x))/x =

So, 4-g(x) must also approach 0, or the limit would be ±∞.

Thus, lim g(x) = 4

If you meant 4 - g(x)/x then of course, lim g(x) would be 0, by the same logic.