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 way of paradoxes is the way of truth. To test Reality we must see it on the tight-rope. When the Verities become acrobats we can judge them.”
—Oscar Wilde (18541900)
“Essay writing is perhaps ... the easiest for the author and requires little more than what is called a fluency of words and a vivacity of expression to avoid dullness; but without ... a real foundation of matter ... an essay writer is very apt, like Dogberry in Shakespeares Much Ado About Nothing, to think that if he had the tediousness of a king, he would bestow it all upon his readers.”
—Sarah Fielding (17101768)