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Limits - Please provide some good reading materials!

  1. Jul 25, 2007 #1
    Can anyone provide me with insights on limits?

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

    And oh, the product rule, which I'm pretty sure I read from some course notes, stating that only when [LaTeX]lim_{x\rightarrow\a} g(x) [/LaTeX] and [LaTeX] lim_{x\rightarrow\a} f(x) [/LaTeX] 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: Jul 25, 2007
  2. jcsd
  3. Jul 31, 2007 #2
    Why can't my latex work?

    Is that why no one is helping me here..
  4. Jul 31, 2007 #3


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    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.
  5. Aug 1, 2007 #4


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    i recommend courant and john.
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