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:
“The test of a vocation is the love of the drudgery it involves.”
—Logan Pearsall Smith (18651946)
“To the real artist in humanity, what are called bad manners are often the most picturesque and significant of all.”
—Walt Whitman (18191892)
“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)