Prove that for any constant, k, logk N = o(N)

Chapter 2, Problem 2.4

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Prove that for any constant, k, logk N = o(N).

Questions & Answers

QUESTION:

Prove that for any constant, k, logk N = o(N).

ANSWER:


Proof:
Let k be an arbitrary constant and N a positive integer.
We will show that logkN = o(N) using the definition of big-O notation.

Since logkN represents a function of N, for large values of N, the leading term for lo

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back