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Hace 1 día · A real number is a number that can be used to measure a continuous one-dimensional quantity. Learn how real numbers are defined, characterized, and manipulated in mathematics, and how they differ from imaginary and transcendental numbers.
Hace 2 días · Limits describe the behavior of a function at a certain input in terms of its values at nearby inputs. They capture small-scale behavior using the intrinsic structure of the real number system (as a metric space with the least-upper-bound property ).
Hace 3 días · An integral is a mathematical operation that computes areas, volumes, and their generalizations. Learn about the definition, properties, applications, and history of integrals, from ancient Greek methods to modern formulations.
Hace 3 días · Learn how to determine whether the limit of a function at a point exists or not. See different cases of limits not existing, such as infinite limits, oscillating limits and discontinuous limits.
Hace 3 días · In this explainer, we will learn how to evaluate the limit of a function using tables and graphs. The limit of a function at a point gives us information about the outputs of that function near (but not at) the point. The formal definition of the limit of a function is as follows.
Hace 5 días · In this explainer, we will learn how to evaluate one-sided limits graphically and algebraically. We know that the limit of a function describes the behavior of the function near a point. Sometimes, the behavior of a function does not lead to a specific value as the input approaches a limit point.
Hace 5 días · Use the epsilon-delta definition of limits to evaluate the limit $\lim_{x\to1}\frac{x^2-x-2}{2x-3}$
