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:
“To answer a question so as to admit of no reply, is the test of a man.”
—Ralph Waldo Emerson (1803–1882)
“The two real political parties in America are the Winners and the Losers. The people don’t acknowledge this. They claim membership in two imaginary parties, the Republicans and the Democrats, instead.”
—Kurt Vonnegut, Jr. (b. 1922)
“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)