1. Jul 25, 2007

### truewt

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. Jul 31, 2007

### truewt

Why can't my latex work?

Is that why no one is helping me here..

3. Jul 31, 2007

### 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.

4. Aug 1, 2007

### mathwonk

i recommend courant and john.