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 real comedian is whether you laugh at him before he opens his mouth.”
—George Jean Nathan (18821958)
“Where my imaginary line
Bends square in woods, an iron spine
And pile of real rocks have been founded.”
—Robert Frost (18741963)
“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)