Note : Attempt all questions:
1.
Attempt
any two of the following :
(a) Let f (n) and g(n) be asymptotically
positive
Functions Prove or disprove each of
the following
Conjectures:
(i) f(n) = o(g(n))
implies g(n) = o(f(n))
(ii) f (n)+g (n)- ᵩ(min(f(n
),g(n))).