Date of Award

6-1962

Embargo Period

8-24-2011

Degree Name

Master of Arts (MA)

Abstract

Some preliminary theorems about numbers are proved, and some particular types of number sequences are shown to have sequential limits. It is then shown that if a sequence has a sequential limit, that sequence is convergent, and that if a sequence is convergent, it has a sequential limit; two necessary and sufficient conditions for absolute convergence of a number sequence are established.

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