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Construction of the real numbers

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  In   mathematics , the branch of   real analysis   studies the behavior of   real numbers ,   sequences   and   series   of real numbers, and   real functions . [1]   Some particular properties of real-valued sequences and functions that real analysis studies include   convergence ,   limits ,   continuity ,   smoothness ,   differentiability   and   integrability . Real analysis is distinguished from  complex analysis , which deals with the study of  complex numbers  and their functions. Scope [ edit ] This section may  require  cleanup  to meet Wikipedia's  quality standards . The specific problem is:  This section goes too heavily into detail about each concept. It should just portray a brief overview in relation to the field of real analysis.  Please help  improve this section  if you can.   ( June 2019 )  ( Learn how and when t...