Limits of Sequences

Introduction to Analysis · Learn by Concept

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Introduction to Analysis › Limits of Sequences

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1

What term does the following define.

A sequence of sets is __________ if and only if .

Nested

CORRECT

Increasing

0

Decreasing

0

Bounded

0

Unbounded

0

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.

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