Question

What is the order of the following growth function expressed using Big-Oh notation: T(N)=7*N3 + N/2...

What is the order of the following growth function expressed using Big-Oh notation: T(N)=7*N3 + N/2 + 2 * log N + 38 ?

O(2N)

O(N3)

O(N/2)

O(N3 + log N)

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Answer #1

As

T(N) = 7 *N y2 + 2 * (logN) + 38

is your given equation , to calculate the Big Oh notation we will consider only the highest order term in the equation.

Here we have the orders N^{3} ,N/2 (order will be N), and log N(order will be log N).

Of these orders, the highest order is N^{3} . So the answer will be option B (N^{3}).

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