aspg-21-310-1791468492 20261008140812 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 3 1 Huda E. Khalid * Telafer University, Scientific Affairs and Cultural Relations Department, Telafer, Iraq Ahmed K. Essa Telafer University, Scientific Affairs and Cultural Relations Department, Telafer, Iraq The theory of neutrosophic limits is the natural step before developing the theory of neutrosophic continuous functions and developing the theory of neutrosophic differentiation. The goal of this work is to construct a new definition of the neutrosophic limits for real sequences using the distance as a linear operator. Some new theorems are presented to cover the theoretical notions of this topic and an illustrative example is presented to help the reader understanding the notions of this article. 2020 08 13 310 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.030102 https://www.americaspg.com/journal/21/article/310 https://www.americaspg.com/storage/5519.pdf