Understand the Difference Between Convergence and Divergence of x(n)

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Discussion Overview

The discussion revolves around understanding the difference between convergence and divergence in the context of a mathematical sequence or function denoted as x(n). Participants are examining a specific assignment question that involves two different cases of x(n) and are questioning the reasons behind the differing solutions.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant expresses uncertainty about the mathematical sub-topic related to convergence and divergence.
  • Another participant notes that the values of x in the provided table are different, implying this may relate to the differences in solutions.
  • A participant questions the rationale behind the differing solutions, suggesting that the questions appear similar and wonders why the solutions differ.
  • Another participant proposes that the initial definitions or forms of x(z) may lead to different approaches in deriving solutions, indicating that the differences may not be immediately apparent in the initial parts of the solutions.

Areas of Agreement / Disagreement

Participants do not seem to reach a consensus on the reasons for the differences in solutions, indicating that multiple views and uncertainties remain regarding the relationship between the questions and their solutions.

Contextual Notes

There may be missing assumptions regarding the definitions of x(n) and x(z), as well as unresolved mathematical steps that could clarify the differences in the solutions.

fireflies
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I actually don't know what math sub-topic it belong to..

To the question, I got this two in my class assignment. Why x(n) is different can anybody tell me? What is the difference in these two questions (except that the one has 10 included and other not. Is the difference for that?)??
 

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The values of x in the table are different.
 
yes, but that's the solution. My question is there is no difference in question, so why in solutions?
 
Usually when they say "Let x(z)=...", they go on to say things about x. It may not be the final solution, but it may be used to find the solution. The two solutions may start with different x's and do something different to each to derive the same final answer. Are you sure that there is not more in those solutions than the first parts you are showing?
 

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