Number Sequences
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 nec...
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Research Showcase @ CMU
1962
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ndltd-cmu.edu-oai-repository.cmu.edu-theses-10002015-06-02T03:31:46Z Number Sequences Sorrells, Roger B. 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. 1962-06-01T07:00:00Z text application/pdf http://repository.cmu.edu/theses/1 http://repository.cmu.edu/cgi/viewcontent.cgi?article=1000&context=theses Theses Research Showcase @ CMU |
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Others
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NDLTD |
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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. |
| author |
Sorrells, Roger B. |
| spellingShingle |
Sorrells, Roger B. Number Sequences |
| author_facet |
Sorrells, Roger B. |
| author_sort |
Sorrells, Roger B. |
| title |
Number Sequences |
| title_short |
Number Sequences |
| title_full |
Number Sequences |
| title_fullStr |
Number Sequences |
| title_full_unstemmed |
Number Sequences |
| title_sort |
number sequences |
| publisher |
Research Showcase @ CMU |
| publishDate |
1962 |
| url |
http://repository.cmu.edu/theses/1 http://repository.cmu.edu/cgi/viewcontent.cgi?article=1000&context=theses |
| work_keys_str_mv |
AT sorrellsrogerb numbersequences |
| _version_ |
1716804518918750208 |