How to know if a function is continuous or discontinuous

A function is said to be differentiable if the derivative exists at each point in its domain. 👉 Learn how to determine the differentiability of a function.

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Continuity and Discontinuity in Calculus

Explore Book Buy On Amazon. As your pre-calculus teacher will tell you, functions that aren't continuous at an x value either have a removable discontinuity (a hole in the graph of
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Continuous and discontinuous functions

The function f is said to be continuous at the number ‘a’ if and only if the following three conditions are satisfied: f (a) exists; lim x→a f (x) exists; lim -x→a f (x) = lim +x→a f (x) =

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Continuous Functions

A function is discontinuous at a point x = a if the A function being continuous at a point means that the two-sided limit at that point exists and is equal to the function's value.

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7. Continuous and Discontinuous Functions

A continuous function is a graph of a function that has no breaks and continues on. A formal definition of a continuous function is if f(x) f ( x) is considered continuous at a