Limits - Please provide some good reading materials

[truewt]

Can anyone provide me with insights on limits?

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

And oh, the product rule, which I'm pretty sure I read from some course notes, stating that only when lim_{x\rightarrow\a} g(x) and lim_{x\rightarrow\a} f(x) 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?

 

[truewt]

Why can't my latex work?

Is that why no one is helping me here..

 

[bel]

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.

 

[mathwonk]

i recommend courant and john.