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Limits of Soft Numbers

  • Moshe Klein,
  • Oded Maimon

摘要

This chapter deals with the limits of Soft numbers. In Soft analysis, as in real and complex analysis, limits are the foundation and primary tool for the investigation and description of the advanced properties of functions. In the first section of this chapter, we define the concepts of finite and infinite limits of an infinite sequence of Soft numbers, as well as the related concepts of convergent and divergent sequences and bounded and unbounded sequences. We investigate the relationship between convergent and bounded sequences of Soft numbers, and then, using the limits of sequences, we define the concept of the limit of a Soft function at a point. We also investigate and present the algebraic properties of limits in the Soft numbers region.