Question

Assume you have functions T and S such that T(n) = O(S(n)). For the following statements,...

Assume you have functions T and S such that T(n) = O(S(n)). For the following
statements, decide whether you think it is True or False. If you think the answer
is True, prove it, otherwise, provide a counter example.


(a) If f(n) = O(g(n)) and g(n) = O(T(n)), then f(n) = O(T(n)).

(b) If h(n) =?(g(n)) and g(n) = ?(T(n)), then h(n) = ?(T(n)).

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