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:
“First follow Nature, and your judgment frame
By her just standard, which is still the same;
Unerring Nature, still divinely bright,
One clear, unchanged, and universal light,
Life, force, and beauty must to all impart,
At once the source, and end, and test of art.”
—Alexander Pope (1688–1744)
“Everybody is so talented nowadays that the only people I care to honour as deserving real distinction are those who remain in obscurity.”
—Thomas Hardy (1840–1928)
“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)