Introduction to Analysis : Sequences in Real Numbers (R)

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Example Questions

Example Question #1 :Intro Analysis

What term does the following define.

A sequence of setsis__________if and only if.

Possible Answers:

Unbounded

Bounded

Nested

Decreasing

Increasing

Correct answer:

Nested

Explanation:

This statement:

A sequence of setsis __________ if and only if

is the definition ofnested.

This means that the sequencefor allelements, for whichbelongs 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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