Problem

Find the limit or show that it does not exist. …

01:47

Problem 33 Easy Difficulty

Find the limit or show that it does not exist.

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

Answer

$\lim _{x \rightarrow-\infty}\left(x^{2}+2 x^{7}\right)=-\infty$

More Answers

02:01

Daniel J.

Topics

Limits

Derivatives

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 2

Limits and Derivatives

Section 6

Limits at Infinity: Horizontal Asymptotes

Discussion

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Watch More Solved Questions in Chapter 2

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Video Transcript

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

Suman Saurav T.

Chandigarh University

Topics

Limits

Derivatives

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 2

Limits and Derivatives

Section 6

Limits at Infinity: Horizontal Asymptotes

Top Calculus 1 / AB Educators

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Samuel H.

University of Nottingham

Joseph L.

Boston College