Definition of "Converge"

A sequence S_n converges to the limit S -- that is,

lim_n-->¥ S_n = S,

-- if for any positive real number, e, there exists a positive integer, N, such that
n > N  Þ  |S_n - S| < e   

Internet references

Convergent Sequence, in Mathworld

Related pages in this website

Calculus Theorems -- important facts about continuous functions

The webmaster and author of the Math Help site is Graeme McRae.
     [home]  [email]  [search]  [Links to Math Sites]  [Whiteboard]