Abel's Test - Abel's Test in Real Analysis

Abel's Test in Real Analysis

Suppose the following statements are true:

  1. is a convergent series,
  2. {bn} is a monotone sequence, and
  3. {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 literature is, I suppose, whether we ourselves live more intensely for the reading of it.”
    —Elizabeth Drew (1887–1965)

    “You seem to have no real purpose in life and won’t realize at the age of twenty-two that for a man life means work, and hard work if you mean to succeed.”
    —Jennie Jerome Churchill (1854–1921)

    “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)