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Discussion Overview

The discussion revolves around seeking assistance with a mathematical limit evaluation involving factorials and series. Participants express their struggles with specific points in their work and seek guidance on how to approach the problem.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant requests help, indicating they are struggling with a specific point in their work.
  • Another participant presents a mathematical limit involving factorials and asks for conclusions regarding its evaluation.
  • A third participant notes that the series is positive termed, suggesting that the use of absolute values may be unnecessary, although this is not universally accepted.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the necessity of absolute values in the context of the limit evaluation, indicating a potential disagreement on this aspect.

Contextual Notes

The discussion lacks clarity on the assumptions underlying the limit evaluation and does not resolve the mathematical steps involved in reaching a conclusion.

jaychay
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Please help me
Thank you in advance
 
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This is my work
I am struggle at this point
 
\[ \lim_{k \to \infty} \left| \frac{[3(k+1)]!}{(k+1)(k+2)} \cdot \frac{k(k+1)}{(3k)!} \right| \]

\[ \lim_{k \to \infty} \left| \frac{k(3k+3)(3k+2)(3k+1)}{(k+2)}\right| \]

evaluate the limit ... what can you conclude?
 
Also, keep in mind it's a positive termed series, so the absolute values (while not incorrect) are unnecessary.
 

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