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 final test of a novel will be our affection for it, as it is the test of our friends, and of anything else which we cannot define.”
—E.M. (Edward Morgan)
“I’m here because you believe I’m here. Keep on believing and I’ll always be real to you.”
—Philip Dunne (1908–1992)
“Ask anyone committed to Marxist analysis how many angels on the head of a pin, and you will be asked in return to never mind the angels, tell me who controls the production of pins.”
—Joan Didion (b. 1934)