How do they derive from equation A to B?

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Discussion Overview

The discussion centers around the methods for deriving one mathematical equation (A) from another (B), specifically in the context of limits and simplifications. Participants explore various techniques such as partial fractions and differentiation, while also addressing the conditions under which these methods apply.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about the methods to transition from equation A to B, suggesting partial fractions or differentiation as possible techniques.
  • Another participant emphasizes the importance of clarity in presenting equations, particularly when limits are involved, and suggests that the original equation may have been misrepresented.
  • A participant questions whether the assumption is that A equals B and whether the transition maintains this equality.
  • One participant mentions the use of L'Hôpital's rule after simplifying the equation from A to B, specifically when finding the limit as z approaches 0.
  • Another participant points out a potential error in the limit process, noting that while the numerator approaches zero, the denominator does not, which could lead to confusion.
  • A request is made for the explicit expression of the denominator to clarify the discussion.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the correct form of the equations and the assumptions involved in the limit process. There is no consensus on the methods or the correctness of the equations presented.

Contextual Notes

Limitations include the lack of clarity in the original equations and assumptions regarding their forms, as well as unresolved details about the mathematical steps taken in the derivation.

Who May Find This Useful

Readers interested in mathematical derivations, limit processes, and methods of simplification in equations may find this discussion relevant.

timeforchg
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My question is how to get from equation A to B.
By using partial fractions? differential? any methods?
 

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timeforchg said:
My question is how to get from equation A to B.
By using partial fractions? differential? any methods?

Don't use attachments as it makes very cumbersome reading the question and answering it. Write down the stuff using LaTeX for mathematics.

DonAntonio
 
Hey timeforchg and welcome to the forums

Do you have any conditions? Are you assuming A = B and trying to go from A to B while maintaining an equality?
 
chiro said:
Hey timeforchg and welcome to the forums

Do you have any conditions? Are you assuming A = B and trying to go from A to B while maintaining an equality?


yes. I think is more simplifying the equation.

I am trying to find the limit z = 0. When I see inside my text before they use l'hopital rule, they simplified the equation A to B. Thereafter they apply the l'hopital rule
 
Ohh, next time you use a limit please specify this in the equation so there is no ambiguity or confusion.

I have a feeling you have got the equation wrong: if you take the limit in this case to go to zero, the top goes to 0 but the bottom doesn't (it goes to 3-j which may not be zero and is only zero if 3 = j).
 
there is no + in eq A for the denominator
 
Can you please write out the expression on the denominator?
 
SOLVED! Thanks a lot guys! Appreciate it.
 

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