It explains the difference between a **continuous** function and a discontinuous.

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. The notion of **jump discontinuity** shouldn't be confused with the rarely-utilized convention whereby the term **jump** is used to define any sort of functional **discontinuity**.

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That is not a formal definition, but it helps you understand the idea. This calculus video tutorial provides a basic introduction into to continuity. .

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. Then, is called a jump discontinuity, step discontinuity, or discontinuity of the first kind. Here is a **continuous** function: Examples.

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Sep 7, 2022 · Intuitively, a removable **discontinuity** is a **discontinuity** for which there is a hole in the graph, a **jump** **discontinuity** is a noninfinite **discontinuity** for which the sections of the function do not meet up, and an infinite **discontinuity** is a **discontinuity** located at a vertical asymptote.

Also, for a **continuous** function, describe the shape where the derivative is undefined. .

Identifying **Discontinuities**. Infinite **Discontinuity**.

As the function is not left-**continuous**, it cannot be left.

This calculus video tutorial provides a basic introduction into to continuity.

. Look out for holes, **jumps** or vertical asymptotes. .

0 40 80 f (x) 0 1 2 x 3. . Transcribed image text: limx→1− f (x) = at x = −2f has a f has a **jump** **discontinuity** at x = f is **continuous** from the right at x = is **continuous** on the interval is **continuous** from the left at x = 1. That is not a formal definition, but it helps you understand the idea. That is not a formal definition, but it helps you understand the idea. .

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The vertical asymptote at x = 1 is an example of an inﬁnite **discontinuity**. II.

Intuitively, a removable **discontinuity** is a **discontinuity** for which there is a hole in the graph, a **jump discontinuity** is a noninfinite **discontinuity** for which the sections of the.

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The other two functions shown are both discontinuous at a point.

Look out for holes, jumps or vertical asymptotes (where the function heads up/down towards infinity).

The function f ( x) is **continuous** at the point p if and only if all the following three things are true: f ( p) exists.

discontinuity-- this is thediscontinuity-- is called a removablediscontinuity.