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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:
Increasing
Decreasing
Unbounded
Nested
Bounded
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.
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