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8. The big O of the function 2Nª + 5N² + N is: A. O(5N?) C. O(N*) E. None of the above is correct B. O(N* + N?) D. O(2N*)

8. The big O of the function 2Nª + 5N² + N is: A. O(5N?) C. O(N*) E. None of the above is correct B. O(N* + N?) D. O(2N*)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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8. The big O of the function \(2N^4 + 5N^2 + N\) is: - A. \(O(5N^2)\) - B. \(O(N^4 + N^2)\) - C. \(O(N^4)\) - D. \(O(2N^4)\) - E. None of the above is correct
Transcribed Image Text:8. The big O of the function \(2N^4 + 5N^2 + N\) is: - A. \(O(5N^2)\) - B. \(O(N^4 + N^2)\) - C. \(O(N^4)\) - D. \(O(2N^4)\) - E. None of the above is correct
Expert Solution
Step 1

Big - O represent worst case time complexity of an algorithm.

While finding Big-O time complexity from an expression we need to focus only on the term which have larger impact when the value of N grows. And neglect other terms and constant.

Here expression is 

2N4 + 5N2 + N.

Here leading term is. 2N4 as for very large value of N.

2N4 >>>> 5N2 + N.

Thus 5N2 + N can be neglected .

Also 2 is constant in 2N4 and does not impact the big -o time complexity and can be neglected.

 

So, Big -O time complexity is O(N4) 

 

 

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