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## Main Question or Discussion Point

I recently opened a calculus textbook to understand the exact definitions of lower upper bound and greater lower bound. The book went into a discussion over "neighborhoods" explaining that if one were asked to prove a limit point, assume that x lies between 0 and a funny looking symbol that looks like some curled S. To prove lower upper bounds and greater lower bounds, the symbol episolon was used.

I'm curious, what is the real difference between episolon and that curled S? (Sorry I couldn't find a latex image for it but it looks like partial charges from chemistry)

I'm curious, what is the real difference between episolon and that curled S? (Sorry I couldn't find a latex image for it but it looks like partial charges from chemistry)