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 and/or real:
“The test is always how we treat the poor.”
—Robert Frost (18741963)
“A real man doesnt have to run from his mother, and may even have to face the reality that no great deed is going to be great enough for him to ransom himself completely, and he may always be in his mothers debt. If he understands that . . . he wont have to feel guilty, and he wont have to please her completely. He can go ahead and be nice to her and let her be part of his life.”
—Frank Pittman (20th century)