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:
“Conventional manners are a kind of literacy test for the alien who comes among us.”
—Katharine Fullerton Gerould (18791944)
“All appointments hurt. Five friends are made cold or hostile for every appointment; no new friends are made. All patronage is perilous to men of real ability or merit. It aids only those who lack other claims to public support.”
—Rutherford Birchard Hayes (18221893)
“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)