convergent sequence

noun Mathematics.

Nearby words

  1. convergence zone,
  2. convergent,
  3. convergent boundary,
  4. convergent evolution,
  5. convergent plate boundary,
  6. convergent strabismus,
  7. convergent thinking,
  8. convergently,
  9. converging lens,
  10. conversable

fundamental sequence

noun Mathematics.

an infinite sequence, x1, x2, …, whose terms are points in Ek, in which there exists a point y such that the limit as n goes to infinity of xn  = y if and only if for every ε>0, there exists a number N such that i >N and j >N implies |xi  −xj |< ε.Also called Cauchy sequence, convergent sequence.Compare complete(def 10b). Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019