Define asymptotic analysis and explain the three notations which are primarily used for asymptotic analysis with the help of example.

Asymptotic analysis is a mathematical technique used to analyze the behavior and efficiency of algorithms or functions as the input size approaches infinity. It focuses on understanding the growth rate of functions and how they scale with larger inputs. Asymptotic analysis helps in comparing the efficiency of algorithms and making informed decisions about their performance.

The three primary notations used in asymptotic analysis are Big O notation (O), Omega notation (Ω), and Theta notation (Θ). Let's define each of these notations and provide examples to illustrate their usage:

1. Big O Notation (O):
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