论文信息 - Inferior Limit and Superior Limit of Sequences of Real Numbers

Inferior Limit and Superior Limit of Sequences of Real Numbers

Summary. The concept of inferior limit and superior limit of sequences of real numbers is defined here. This article contains the following items: definition of the superior sequence and the inferior sequence of real numbers, definition of the superior limit and the inferior limit of real number, and definition of the relation between the limit value and the superior limit, the inferior limit of sequences of real numbers.

Yatsuka Nakamura | Bo Zhang | Hiroshi Yamazaki

[1] Czeslaw Bylinski. Functions from a Set to a Set , 2004 .

[2] A. Trybulec. Tarski Grothendieck Set Theory , 1990 .

[3] Krzysztof Hryniewiecki,et al. Basic Properties of Real Numbers , 2004 .

[4] G. Bancerek,et al. Ordinal Numbers , 2003 .

[5] Czeslaw Bylinski,et al. Bounding Boxes for Compact Sets in E 2 , 1997 .

[6] Jaros law Kotowicz,et al. Monotone Real Sequences. Subsequences , 1989 .

[7] W. Kellaway,et al. Complex Numbers , 2019, AMS/MAA Textbooks.

[8] Edmund Woronowicz. Relations Defined on Sets , 1990 .

[9] Jarosław Kotowicz,et al. Convergent Sequences and the Limit of Sequences , 2004 .

[10] Jaros law Kotowicz,et al. Convergent Real Sequences . Upper and Lower Bound of Sets of Real Numbers , 1989 .

[11] Jarosław Kotowicz. Real Sequences and Basic Operations on Them , 2004 .

[12] G. Bancerek. The Fundamental Properties of Natural Numbers , 1990 .