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 difference between writing a book and being on television is the difference between conceiving a child and having a baby made in a test tube.”
—Norman Mailer (b. 1923)
“A real life, a life that leaves a deposit in the shape of something alive.... It’s difficult to say what makes a life a real life.... You could also say it depends on a person being identical with himself.”
—Max Frisch (1911–1991)
“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 (1818–1883)