Computer Science Homework Solutions
Problem
#1650

Using Big O notation for proofs.

Use only the definition of O(f(n)) to prove that the following statements are true:

1. (6n^3*log n + 1)/2n +1000 = O(1)
2. nlog n + n^3/2 = O(n^3/2)

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Question:

Use only definition of O(f(n)) proof that the following statements are
true:

You should use the following definition:

g(n) = O(f(n)) if and only if (C>0 (n0>0 (n>n0 g(n) ( Cf(n)

1. (6n3log n + 1)/2n +1000 = O(1)

2. nlog n + n3/2 = O(n3/2)
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