Limits of Polynomials: x3-6x2+11x - 6 & x3-4x2+19x + 14

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Homework Help Overview

The discussion revolves around evaluating the limit of a rational function involving polynomials as x approaches -1. The specific polynomials in question are x³ - 6x² + 11x - 6 in the numerator and x³ - 4x² + 19x + 14 in the denominator.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the method of substitution and the challenges faced in factoring the polynomials. There are questions about the correctness of the algebraic manipulations and the results obtained from the solutions manual.

Discussion Status

Some participants are exploring different approaches to the limit, including substitution and factoring. There is an acknowledgment of potential mistakes in the problem setup, as one participant corrects their initial expression. The discussion is ongoing with no clear consensus on the correct answer yet.

Contextual Notes

There is mention of a solutions manual providing an answer that conflicts with one participant's calculations, indicating possible confusion or errors in the problem setup or execution. Additionally, one participant notes a lack of recent experience with factoring, which may influence their approach.

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Homework Statement


lim
x-> -1
x3-6x2+11x - 6
x3-4x2+19x + 14

Homework Equations





The Attempt at a Solution




 
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Have you tried anything yet? Where does the expression tend to as x goes to -1?
 
Where is your attempt at a solution? I know calculus can be confusing when you start, but this problem seems pretty straight forward.
 
well, i used the method of substitution and if my algebra is correct i came out with -6/7 but in my solutions manual that answer is incorrect, then i try to factor the top but it didn't seem to factor out. although, i haven't took college algebra in awhile, so i am a little rusty on my factoring.
 
Last edited:
What did the answer manual say?
 
-2/3 , opps i wrote the problem down wrong so it is actually
x3-6x2+11x - 6
x3+4x2-19x + 14
 
Last edited:
Copying mistakes will get you every time!
 

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