Decision structure: Decision structure executes a set of statement under certain conditions. It is also known as selection structure. The action is performed only when the condition exists and takes different action depending upon the state “True” or “False”. The two categories of decision structure are given as follows: • Single alternative decision structure • Dual alternative decision structure Single alternative decision structure: This gives only alternative path of execution. “if” statement is used to write a single alternative decision structure. • If the condition is “true”, it executes the statement inside the block.

Question

Prove for each pair of expression f(n) and g(n) whether f(n) is big O, little o Ω,ω or Θ of g(n). Use limits to find these. For each case it is possible that more than one of these conditions is satisfied:1. f(n) =log(n2^n), g(n) = log(sqrt(n)2^(n^2))2. f(n) =nsqrt(n) +log(n^n), g(n) =n + sqrt(n)logn

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Chapter 3.2, Problem 8CP

Program Plan Intro

Decision structure:

Decision structure executes a set of statement under certain conditions. It is also known as selection structure. The action is performed only when the condition exists and takes different action depending upon the state “True” or “False”. The two categories of decision structure are given as follows:

• Single alternative decision structure

• Dual alternative decision structure

Single alternative decision structure:

This gives only alternative path of execution. “if” statement is used to write a single alternative decision structure.

• If the condition is “true”, it executes the statement inside the block.

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