204k views
2 votes
For each statement, simply indicate whether it is true or false. (No need to justify your answer) n^2log(n)∈O(n)

A. True
B. False

User Ericjam
by
7.5k points

1 Answer

4 votes

Final answer:

The statement is False. n^2log(n) is not in O(n) because it has a quadratic growth rate, which is faster than linear growth rate.

The right amswer is B. False

Step-by-step explanation:

The statement given is False.

To determine whether n^2log(n) is in O(n), we need to compare the growth rates of both functions.

By using the Big O notation, O(n) represents a function with a linear growth rate, while n^2log(n) represents a function with a quadratic growth rate.

Since quadratic growth rate grows faster than linear growth rate, n^2log(n) is not in O(n).

The right amswer is B. False

User Kavin Dsouza
by
8.4k points