UNDERSTANDING THE CONCEPT OF LIMITS IN MATHEMATICS: A FUNDAMENTAL BUILDING BLOCK IN CALCULUS
Keywords:
Limit, Calculus, Finite Limits, Infinite Limits, Limits at Infinity, Limit Laws, Continuity, Squeeze Theorem, Uniqueness, Function Behaviour, Real-world Applications, Mathematical Analysis, Calculus Fundamentals.Abstract
The article provides a comprehensive introduction to the concept of limits, which is essential in calculus. It explains the basic idea of a limit, where a function approaches a particular value as the input approaches a certain point. The article covers different types of limits, including finite limits, infinite limits, and limits at infinity, and introduces key properties such as uniqueness, limit laws, continuity, and the Squeeze Theorem. Additionally, it highlights the practical applications of limits in fields like physics, economics, and engineering, emphasizing their importance in understanding and modeling real-world phenomena. The article serves as a clear and accessible guide for students and professionals looking to deepen their understanding of calculus.
