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:
“A decent provision for the poor is the true test of civilization.”
—Samuel Johnson (17091784)
“A decent chap, a real good sort,
Straight as a die, one of the best,
A brick, a trump, a proper sport,
Head and shoulders above the rest;
How many lives would have been duller
Had he not been here below?
Heres to the whitest man I know
Though white is not my favourite colour.”
—Philip Larkin (19221986)
“A commodity appears at first sight an extremely obvious, trivial thing. But its analysis brings out that it is a very strange thing, abounding in metaphysical subtleties and theological niceties.”
—Karl Marx (18181883)