Convergent
(1) An analysis, convergent means tending towards some definite finite value. (2) In the theory of continued fractions, a convergent is a partial sum of continued fraction terms.
Convergent is a college-level concept that would be first encountered in a number theory course.
Examples
Convergent Series: | A convergent series is a series for which partial sums become arbitrarily close to some fixed number. |
Prerequisites
Continued Fraction: | A continued fraction is a real number expressed as a nested fraction. Such representations may be particularly useful in number theory. |