Basic of Real Sequence

Objective: It is very much familiar to mathematician with real sequence. Because sequences occur frequently in analysis and they appear in many contexts. Actually sequence is know as a rule or function from the set of natural number to real number. As it is a real valued function, it has very much importance in the study of limit and continuity of real valued function. There is sequential approach to check the existence of limit or continuity. Further it has also application in metric spaces and many other filed. So we should acquire the knowledge on sequence for better understanding of real function. 

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