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Where is the function $f(x)=1 /(x-5)$ discontinuous. Why?

$x=5$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 3

Limits and Continuity

Derivatives

Missouri State University

Campbell University

Harvey Mudd College

Idaho State University

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

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in Problem 29. We have to find the discontinuity off the given function, which is f off X, is equal to went up on X minus like, Yeah, the question is, where is the function discontinuous and why is if we see Attitude X is equal to five. In the given function, we have we get one upon zero, which is an undefined fund, undefined prom or intermediate form. Therefore, we can say that the given function is the given function. Is this continuous? This continuous at X is equal to five and this is a non removable discontinuity. Because we cannot simply we cannot redefine the function we cannot do for redefine the function that which will be we cannot redefine the function so that we do not have a whole are particle is, um told are a jump on its crab. Therefore, we can conclude that the given function is discontinuous at accessible to fight

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