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.

Classroom Articles on Number Theory (Up to College Level)

	Congruence	Perfect Number
	Diophantine Equation	Prime Counting Function
	Divisor Function	Prime Factorization Algorithms
	Euclidean Algorithm	Prime Number Theorem
	Euler-Mascheroni Constant	Quadratic Reciprocity Theorem
	Fermat's Last Theorem	Squarefree
	Number Theory	Totient Function
	Partition	Transcendental Number