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Find the indicated limit.$$\lim _{x \rightarrow-2}\left(2 x^{2}+6 x-11\right)$$

-15

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 3

Limits and Continuity

Derivatives

Baylor University

University of Michigan - Ann Arbor

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.

01:23

Find the indicated limit, …

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Evaluate the limit if it e…

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01:00

Find the limit.$\lim _…

you're We have to find the limit off We have. We have to find we need off two x sugar less six eggs minus 11 as X approaches to X approaches to minus two. Here we have a polynomial function, which is defined for all real numbers. So we simply apply the limits that is to into as X approaches to minus toe. So we replace X by minus two. Also care less six times minus two minus 11. This will be equal toe minus two. So get it's plus four times two is plus egg plus times minus is minus six times to his 12 minus a layla. So we have minus 15, which is the required limit.

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