Abel's Test in Real Analysis
Suppose the following statements are true:
- is a convergent series,
- {bn} is a monotone sequence, and
- {bn} is bounded.
Then is also convergent.
Read more about this topic: Abel's Test
Famous quotes containing the words test, real and/or analysis:
“The test of a mans or womans breeding is how they behave in a quarrel. Anybody can behave well when things are going smoothly.”
—George Bernard Shaw (18561950)
“It should be quite clear, then, that there are no criteria to be laid down in general for distinguishing the real from the not real.”
—J.L. (John Langshaw)
“A commodity appears at first sight an extremely obvious, trivial thing. But its analysis brings out that it is a very strange thing, abounding in metaphysical subtleties and theological niceties.”
—Karl Marx (18181883)