Complex number is complete or not complete Complex number is

Solution

A complete set is ametric space where every Cauchy sequence is convergent.

Complex Number is a metric space as i . d ( z,z ) =0 ii. d (x,y ) = d (y,x) and ii . d (x,Y ) + d( y,Z ) <= d ( x,z)

Now the concept of a Cauchy sequence is quite familiar (since every convergent sequence in RnRn is Cauchy). The idea is that the distance between points of the sequence ultimately becomes arbitrarily small, or in other words: you can find a point in the sequence after which every point lies within an arbitrarily small distance to each other.

hence the complex no system is complete