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Limits describe how a function behaves near a point, instead of at that point. This simple yet powerful idea is the basis of all of calculus. To understand what limits are, let's look at an example.
In this video, we learn about limits, a fundamental concept in calculus. Limits help us understand what a function approaches as the input gets closer to a certain value, even when the function is undefined at that point.
There are many techniques for finding limits that apply in various conditions. It's important to know all these techniques, but it's also important to know when to apply which technique.
Limits describe the behavior of a function as we approach a certain input value, regardless of the function's actual value there. Continuity requires that the behavior of a function around a point matches the function's value at that point.
Calculus 1 | Math | Khan Academy. Calculus 1 8 units · 171 skills. Unit 1 Limits and continuity. Unit 2 Derivatives: definition and basic rules. Unit 3 Derivatives: chain rule and other advanced topics. Unit 4 Applications of derivatives. Unit 5 Analyzing functions. Unit 6 Integrals.
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The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. Learn how we define the derivative using limits.
Discover the essence of limits in calculus as we prepare to dive into the formal definition. Enhance your understanding of this fundamental concept by reviewing how function values approach a specific limit as the input variable gets closer to a certain point.
Explore. Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501 (c) (3) nonprofit organization. Donate or volunteer today! About. News. Impact. Our team. Our interns.