Introduction to Analysis : Limits of Sequences

Study concepts, example questions & explanations for Introduction to Analysis

varsity tutors app store varsity tutors android store

All Introduction to Analysis Resources

12 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Sequences In Real Numbers (R)

What term does the following define.

A sequence of sets  is __________ if and only if .

Possible Answers:

Nested

Increasing

Bounded

Unbounded

Decreasing

Correct answer:

Nested

Explanation:

This statement:

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.

All Introduction to Analysis Resources

12 Practice Tests Question of the Day Flashcards Learn by Concept
Learning Tools by Varsity Tutors