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 given phrase would be: Is it worthy to be immortal? To make a beeline for something. Thats worthy of being immortal and is immortal in English idiom. I guess Ill split is not going to be immortal and is excludable, therefore excluded.”
—Robert Fitzgerald (19101985)
“Understanding replaces imaginary fears with real ones.”
—Mason Cooley (b. 1927)
“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)