What is a Limit? Basic Idea of Limits
Basic Idea of a Limit
In this video, I explore the intuitive concept of a limit, one of the foundational ideas in calculus. Limits play a crucial role in the development of calculus, enabling us to understand the behavior of functions as they approach a particular point. Without the concept of limits, many of the techniques and principles of calculus simply wouldn't exist! Here, I will walk you through the basic idea behind limits, explaining what it means when we write:
lim f(x) = L
x→a
and how this relates to the behavior of functions. While I won't actually compute specific limits in this video, I will help you understand how to approach basic limit questions.
What You Will Learn:
The fundamental concept of a limit and its role in calculus.
How to interpret the expression
lim f(x)=L
x→a
.
Visual and intuitive understanding of how limits describe the behavior of functions.
How to think about approaching limit questions without diving into calculations.
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