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Understanding Limits in Calculus: A Comprehensive Guide

Limits are a fundamental concept in calculus, essential for understanding how functions behave as they approach a particular point. In this article, we will demystify limits by exploring their definition, significance, and practical application through examples.

What are Limits?

At its core, a limit describes the behavior of a function as the input approaches a certain value. Instead of needing the function to equal that value, we examine what happens as the input comes arbitrarily close to it. Formally, we express this as:

Limit of f(x) as x approaches a equals L