The handled study presents the upper (lower) soft limit and soft limit, proposed by Molodtsov in 1987, 1999, and 2004, with several theoretical contributions. It investigates some of their basic properties, such as some basic soft limit rules, the relation between soft limit and boundedness, the sandwich/squeeze theorem, and some basic equivalences and implications. Moreover, it proposes left and right soft limits and studies some of their basic properties. Besides, it exemplifies these concepts and their properties to better understand them. In addition, this study compares the aforesaid concepts with their classical forms. Finally, it handles whether the aspects should be further analyzed.