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Find the indicated limit.$$\lim _{x \rightarrow 2}\left(2 x^{2}-3 x+5\right)$$

7

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 3

Limits and Continuity

Derivatives

Campbell University

Oregon State University

Harvey Mudd College

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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01:43

Find the limit

in this problem, we had to find the limit off. Limit off X approaches to to off two X care minus three eggs plus five. Here, the given function is a polynomial function which is defined for all real numbers. So we deadly apply the limits that is two into S X approaches toe. So we have We will replace X by two su care minus three into plus fight. What is equal toe to that two times two is four times to his and minus through time to his stakes plus quite which is equal to seven, which is the required result.

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