Limit Comparison Test - Statement

Statement

Suppose that we have two series and with for all .

Then if with then either both series converge or both series diverge.

Read more about this topic:  Limit Comparison Test

Famous quotes containing the word statement:

    The honor my country shall never be stained by an apology from me for the statement of truth and the performance of duty; nor can I give any explanation of my official acts except such as is due to integrity and justice and consistent with the principles on which our institutions have been framed.
    Andrew Jackson (1767–1845)

    Most personal correspondence of today consists of letters the first half of which are given over to an indexed statement of why the writer hasn’t written before, followed by one paragraph of small talk, with the remainder devoted to reasons why it is imperative that the letter be brought to a close.
    Robert Benchley (1889–1945)

    He has the common feeling of his profession. He enjoys a statement twice as much if it appears in fine print, and anything that turns up in a footnote ... takes on the character of divine revelation.
    Margaret Halsey (b. 1910)