Can anyone provide me with insights on limits?(adsbygoogle = window.adsbygoogle || []).push({});

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?

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# Limits - Please provide some good reading materials!

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