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Find the indicated limit.$$\lim _{x \rightarrow 2}\left(3 x^{2}-7\right)$$

5

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 3

Limits and Continuity

Derivatives

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

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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Find the indicated limit.<…

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Compute the indicated limi…

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Evaluate the limit, if it …

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Algebraically determine th…

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Find the limit, if it exis…

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Determine the following li…

Yeah. Here in this question, we have to find the limit off three X square minus one as X approaches to plus two. Here again, we have ah polynomial function, which is defined for all your numbers. So we simply apply the limits for X approaches to to so with views three times to scare minus seven, which is equal to 12 minus seven, which is equal to white, which is the required limit.

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