State whether the statements are correct or incorrect with reasons.1. O(f(n)) + O(f(n)) = O (2f(n))2. If 3n + 5 = O(n2) , then 3n + 5 = o(n2)

Question

State whether the statements are correct or incorrect with reasons.1. O(f(n)) + O(f(n)) = O (2f(n))2. If 3n + 5 = O(n2) , then 3n + 5 = o(n2)
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Solution 1

  1. O(f(n)) + O(f(n)) = O(2f(n)) - Correct

Explanation: In Big O notation, when we add two functions, the dominant term is the one that determines the overall complexity. Since both O(f(n)) and O(f(n)) have the same function f(n), adding them together will still result in the same dominant term. The Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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

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