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:

    Wild roses, at your back porch, break their blood,
    And bud to test surprises of sea air,
    Howard Moss (b. 1922)

    Do you think that the things people make fools of themselves about are any less real and true than the things they behave sensibly about?
    George Bernard Shaw (1856–1950)

    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)