Find the simplest order of growth of the following expression: n³ + log(n5). A)θ(log(n5)) B)θ(n³+ log(n)) C)θ(n+ log(n)) D)θ(n³)

Question

Quizplus · Accepted Answer

The first term in the expression is of order n^3, and the second term is of order log(n^5) = 5log(n). As we are interested in the simplest order of growth, we can ignore the second term and choose the simplest order for the first term, which is theta(n^3). Therefore, the overall expression has a growth rate of theta(n^3).

Find the Simplest Order of Growth of the Following Expression