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Understanding Linear Approximation in Calculus

Linear approximation is a fundamental concept in calculus that allows us to estimate the values of complex functions using simpler linear equations. This technique is particularly handy when dealing with curves that are difficult to evaluate directly. In this article, we will delve into what linear approximation is, how it works, and explore some practical examples to illustrate its utility.

What is Linear Approximation?

At its core, linear approximation involves using the tangent line of a curve at a specific point to approximate the values of the function near that point.