Exercise 5.Let n be a positive integer and f(n) = 21log(n!) + (n² + 1)logn. Then f(n) isa. O(n)b. O(logn)c. O(nlogn)d. O(n°logn)

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Answered: Exercise 5. Let n be a positive integer…

Exercise 5. Let n be a positive integer and f(n) = 2log(n!) + (n² + 1)logn. Then f(n) is a. O(n) b. O(logn) c. O(nlogn) d. O(n°logn)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

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Exercise 5.
Let n be a positive integer and f(n) = 21log(n!) + (n² + 1)logn. Then f(n) is
a. O(n)
b. O(logn)
c. O(nlogn)
d. O(n°logn)

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