The image you've uploaded contains mathematical notation that looks to involve limits and possibly some expressions involving absolute values or inequalities. It appears to be describing certain behaviors or conditions for a variable $x$ in relation to a function or set, likely in terms of limits.

To assist you, could you clarify exactly what you're looking for or what part of the notation you'd like help with? For example:

• Are you trying to understand how to solve the limit as $x \to 1$?
• Is there a particular concept you need explained from this?

Feel free to provide more context!