Cauchy Sequence
Instructions
In the dynamic activity below, drag the sliders of and and identify for each arbitrary what value of works, based on the dynamic graph and some of the the values of shown in the activity.
Reflection Questions
A sequence is convergent to (for any , there exists and s.t. for all , ||) means the limit of the terms in the sequence is . Try to use your own words to describe what does a CAUCHY SEQUENCE mean in terms of the ? "For any , there exists and s.t. for all , ||" shows what property of the terms of this sequence?