Limit Comp Test for Polynomial w/Neg Coeff: Use Abs Vals

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SUMMARY

The discussion centers on the application of the limit comparison test in calculus, specifically for polynomials with negative coefficients. It confirms that the limit comparison test can still be utilized by employing absolute values when analyzing the behavior of the polynomial's highest powered term. This approach ensures that the negative coefficient does not affect the validity of the test. The consensus is that using absolute values allows for a proper comparison in limit analysis.

PREREQUISITES
  • Understanding of limit comparison test in calculus
  • Familiarity with polynomial functions and their behavior
  • Knowledge of absolute values and their mathematical implications
  • Basic concepts of limits and convergence in sequences
NEXT STEPS
  • Study the limit comparison test in detail, focusing on examples with negative coefficients
  • Explore the properties of polynomials and their highest powered terms
  • Learn about the implications of using absolute values in limit analysis
  • Investigate additional convergence tests in calculus for further understanding
USEFUL FOR

Students and educators in calculus, mathematicians analyzing polynomial behavior, and anyone seeking to deepen their understanding of limit comparison tests in mathematical analysis.

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if you use the limit comp test to show a polynomial behaves like it's highest powered term and that term has a negitive coefficient can the test still be used but with abs vals
 
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Could you clarify what you are asking and the context of the problem?
 

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