Delta Neighbourhood Deleted Neighbourhood of a Point in Real Numbers

#globalmathinstitute #anilkumarmath The concept of delta neighbourhood is described in details. It simply refers to a very close proximity. Example dealing with approximation, tolerance and limits may use this concept. Many courses do not talk about this important concept. They are happy with interval system.
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What is neighbourhood or δ – neighbourhood of a?
What is deleted neighbourhood of a?
How is interior and open disc related with neighbourhood?
Is delta, δ, positive?
What is application or significance of this concept?    / @mathematicstutor