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:
“a meek humble Man of modest sense,
Who preaching peace does practice continence;
Whose pious life’s a proof he does believe,
Mysterious truths, which no Man can conceive.”
—John Wilmot, 2d Earl Of Rochester (1647–1680)
“The moment a man begins to talk about technique that’s proof that he is fresh out of ideas.”
—Raymond Chandler (1888–1959)
“From whichever angle one looks at it, the application of racial theories remains a striking proof of the lowered demands of public opinion upon the purity of critical judgment.”
—Johan Huizinga (1872–1945)