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Question from Justin, a student:

Hi there, I was wondering does +infinity=+infinity in the extended real number system? Basically, I was wondering does +infinity=+infinity since -infinity and any extended real number (except +infinity) are less than +infinity?

Thank you sooo much for any help and thoughtful insights you can provide for this question!

Sincerely,

Justin

Yes; while adding infinite elements to the reals requires various operations to be restricted, the equality relation behaves normally.

Good Hunting!
RD

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