Proof
We are given a series of the form . The limit of the sequence equals 0 as approaches infinity, and each is smaller than (i.e. the sequence is monotonically decreasing).
Read more about this topic: Alternating Series Test
Famous quotes containing the word proof:
“Talk shows are proof that conversation is dead.”
—Mason Cooley (b. 1927)
“It comes to pass oft that a terrible oath, with a swaggering accent sharply twanged off, gives manhood more approbation than ever proof itself would have earned him.”
—William Shakespeare (1564–1616)
“He who has never failed somewhere, that man can not be great. Failure is the true test of greatness. And if it be said, that continual success is a proof that a man wisely knows his powers,—it is only to be added, that, in that case, he knows them to be small.”
—Herman Melville (1819–1891)