Limits - Please provide some good reading materials

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Discussion Overview

The discussion revolves around the concept of limits in calculus, specifically focusing on L'Hôpital's rule and the product rule. Participants seek clarification on the conditions under which these rules apply and request recommendations for reading materials related to limits.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant inquires about the application of L'Hôpital's rule and the product rule, questioning the conditions required for limits to exist.
  • The same participant seeks clarification on what constitutes "existing" limits, asking if it refers to finite values or non-zero values.
  • Another participant suggests that James Stewart's calculus texts are highly regarded for introductory calculus, potentially useful for understanding limits.
  • A different participant recommends the book by Courant and John as another resource for studying limits.

Areas of Agreement / Disagreement

Participants express varying opinions on recommended reading materials, but there is no consensus on the specific conditions for limits or the definitions of existing limits.

Contextual Notes

The discussion includes uncertainty regarding the proper use of LaTeX for mathematical expressions, which may affect the clarity of the questions posed.

Who May Find This Useful

Students or individuals seeking to deepen their understanding of limits in calculus and looking for reputable resources on the topic.

truewt
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Can anyone provide me with insights on limits?

Like L' Hospital rule (don't know whether spelt right), and product rule such as [tex]lim_{x\rightarrow\a} [f(x)g(x)] = lim_{x\rightarrow\a} f(x) \cdot lim_{x\rightarrow\a} g(x)[/tex] should [tex]lim_{x\rightarrow\a} f(x)[/tex]and [tex]lim_{x\rightarrow\a} g(x)[/tex] exists.

And oh, the product rule, which I'm pretty sure I read from some course notes, stating that only when [tex]lim_{x\rightarrow\a} g(x)[/tex] and [tex]lim_{x\rightarrow\a} f(x)[/tex] exists, what is the definition of existing? A finite value? Non-zero?

Oh and could anyone provide me with some reading material on this topic?
 
Last edited:
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Why can't my latex work?

Is that why no one is helping me here..
 
I couldn't see your LaTex graphics, but Calculus texts by James Stewart (of the University of Waterloo, I believe) have good (possibly the best) reputation as introductory calculus texts, so you might want to have a look at them.
 
i recommend courant and john.
 

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