The Cauchy convergence criterion states that a series
converges if and only if the sequence of partial sums is a Cauchy sequence. This means that for every there is a positive integer such that for all we have
which is equivalent to
Read more about this topic: Convergent Series
Famous quotes containing the word criterion:
“If we are to take for the criterion of truth the majority of suffrages, they ought to be gotten from those philosophic and patriotic citizens who cultivate their reason.”
—James Madison (1751–1836)