Is " INFINITY (∞) a number? # EXTENDED #REAL #NUMBER #INFINITY
contents : 1. Extended real number system 2. The symbol infinity 3. Properties of infinity THE EXTENDED REAL NUMBER SYSTEM : Basically the real number system not contain + or - ∞, it contains all the real numbers lies between for - ∞ and + ∞ i.e. the real number system R=(- ∞. ∞). The extended real number system is a union of the real number set R and the symbols - ∞ and + ∞ i.e. Extended real system = R ⋃ {- ∞, ∞} = [- ∞, ∞] In extended real number system, ∞ is an upper bound and - ∞ is a lower bound of every subset. Here we see an example to tell the main difference between real and extended real number systems. Consider an open interval (2, ∞). The interval (2, ∞) i...