Limits of polynomials at infinity

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Discussion Overview

The discussion revolves around understanding limits of polynomials as the variable approaches infinity, specifically addressing confusion regarding the manipulation of terms involving infinity in polynomial limits.

Discussion Character

  • Exploratory, Conceptual clarification, Homework-related

Main Points Raised

  • One participant expresses confusion about how to handle limits involving infinity, particularly in the context of polynomial expressions.
  • Another participant identifies a mistake regarding the limit of 1/x as x approaches infinity, clarifying that it equals 0.
  • A third participant seeks clarification on the initial question posed by the first participant.
  • A fourth participant suggests that the first participant has resolved their own confusion.

Areas of Agreement / Disagreement

There is no clear consensus; while one participant believes the issue has been resolved, others continue to seek clarification on the original question.

Contextual Notes

The discussion does not fully explore the underlying mathematical principles or assumptions related to limits at infinity, and some steps in reasoning remain unresolved.

Who May Find This Useful

Students or individuals seeking to understand limits in calculus, particularly those struggling with concepts involving infinity in polynomial functions.

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Help, I am infinitly confused :)

When solving the limit for this type and factoring the largest power of a variable in the polynomial in order to make its coefficient become a limit multiplied by another limit of Infinity I get lost. I just do not understand how (Infinity)(5 + Infinity + Infinity -Infinity) = (Infinity)(5). Where did all the other infinities go??

I hope that makes sense. There is much better examples on the first few problems on this page http://tutorial.math.lamar.edu/Classes/CalcI/LimitsAtInfinityI.aspx
 
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Ahh, I found what I was doing wrong. lim(1/x) as x->Inf = 0 not Inf

I am new to this can you tell :P

0 + 0 + 0 + 0 is so much more understandable.
 
what exactly are you asking for?
 
I think he solved his problem himself.:smile:
 

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