All Introduction to Analysis Resources
Example Question #1 : Limits Of Sequences
What term does the following define.
A sequence of sets is __________ if and only if .
A sequence of sets is __________ if and only if
is the definition of nested.
This means that the sequence for all elements, for which belongs to the natural numbers, is considered a nested set if and only if the subsequent sets are subsets of it.
Other theorems in intro analysis build off this understanding.