Limits - Please provide some good reading materials

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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:
on Phys.org
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.