(15 points) Prove that the following assertion is true for all values of n ≥ n0. Identify both n0 and c.2n + 5∈ O(n2)

Question

(15 points) Prove that the following assertion is true for all values of n ≥ n0. Identify both n0 and c.2n + 5∈ O(n2)
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Solution 1

To prove that 2n + 5 ∈ O(n^2), we need to find constants c and n0 such that 2n + 5 ≤ c*n^2 for all n ≥ n0.

Step 1: Choose c = 7 (or any number greater than 2).

Step 2: Choose n0 = 1 (or any number greater than 0).

Step 3: Prove the assertion.

For all n ≥ n0, we have:

2n + 5 ≤ 7n^2

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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