Calculus calculator limits11/28/2023 If one knows that a function ƒ is continuous, what else can you say about ƒ? The intermediate value theorem, the extreme value theorem, and so on, are examples of theorems describing further properties enjoyed by continuous functions. For instance, an integrable function may be less smooth (in some appropriate sense) than a continuous function, which may be less smooth than a differentiable function, which may be less smooth than a twice differentiable function, and so on. Some insight will reveal that this process of grouping functions into classes is an attempt to categorize functions with respect to how "smooth" or "well-behaved" they are. Examples of such classes are the continuous functions, the differentiable functions, the integrable functions, etc. One divides these functions into different classes depending on their properties. The limit calculator allows the calculation of the limit of a function with the detail and the calculation steps.Elementary calculus may be described as a study of real-valued functions on the real line. The antiderivative calculator allows to calculate an antiderivative online with detail and calculation steps.
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