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Find the limit or show that it does not exist.

$ \displaystyle \lim_{x \to -\infty} (x^2 + 2x^7) $

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02:01

Daniel Jaimes

Calculus 1 / AB

Chapter 2

Limits and Derivatives

Section 6

Limits at Infinity: Horizontal Asymptotes

Limits

Derivatives

Thato Esther N.

April 7, 2022

limx-infinity6/x

Oregon State University

Harvey Mudd College

Baylor University

Lectures

04:40

In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.

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.

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Find the limit or show tha…

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Find the limit, if it exis…

well we have a question and it is We need to find the limit or we have to show that it does not exist limit X approaches to minus infinity. Okay, access squad Place to express to the Power seven. This could Burton is limit X approaches to minus and pretty Let us take access to about seven is common. So when by express to the par five plus two. This could also be written as limit x approaches to minus and 30 Accident. The power seven plus limit X approaches to minus infinity one by accident about fine blessed two. No, we see that uh if this is always equal to OK, let us right limit X approaches to minus and 50 X raised to the power seven. Bless too because this will When explosives to my sincerity this whole thing will get close to -02 or zero. Okay, no, since this is Exodus with Power seven which is odd power. If this has odd powers So if X will approach two miles and 20 X raised to the power seven, we'll have to close to minus infinity. Okay, so everything Will be will oppose to minus and 20 minus infinity. They should be the answers. Thank you

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