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Find the indicated limit.$$\lim _{x \rightarrow-1}\left(5 x+\frac{1}{2}\right)$$

$-9 / 2$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 3

Limits and Continuity

Derivatives

Campbell University

University of Michigan - Ann Arbor

Boston College

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 when we had to find the in the gradual limit, which is limit X approaches to minus one off five eggs plus one. Upon to here, we had to apply the limits simply, which is five into as X approaches to minus one. So black in place off X minus one plus. Uh huh. Now, simply by this we have five times minus one is minus five. Plus, Uh huh, which is equal to by taking to Elsie, Um, we have minus and plus when? With girls minus nine upon toe, which is the required limit.

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