For (i) :
f(1) = 0.01 and g(1) = 4
So, there exists a t = 1, such that (i) is true.
(ii) matches the definition of small oh notation
Here, g(t) = o(f(t)) is true.
So, f(t) > g(t) is always true for all t > T
Hence, (ii) is also correct. Option D is the correct answer.