Limits
Overview
Definition
A sequence {% s_1,s_2,... %} has a limit L if, for every positive numbr {% \epsilon %}, there is a positive number N
such that
{% |s_n - L| < \epsilon %}
whenever n > N.
Cauchy Sequence
A sequence {% s_1,s_2,... %} in a
metric space
is Cauchy if, for every positive numbr {% \epsilon %}, there is a positive number N
such that
{% |s_n - s_m| < \epsilon %}
whenever n, m > N.
