Question
Find the supremum and infimum of the set:
Answer :
Word Count : 211
The given set is: \[ S = \left\{ \frac{1}{n-1} : n \geq 2 \right\} \] Let's first express this set for values of \( n \geq 2 \): - For \( n = 2 \), \( \frac{1}{2-1} = 1 \) - For ____ ____ ______ ________ ___ _____ _______ ______ _____ _____.
_____ __________ ______ _______ ___ ___.
______ _______ __________ ____ ____ ________ _____ _______ ____.
_______ _______ ________ ____ _____ ____ ______.
_________ ________ ___ __________ ____ ___ ______ ___ __________ ________ ___.
______ ___ ______ ______ _________ ________ ________ _______.
_____ ____ _________ ________ ____.
_______ _____ _______ ______ _____ ____ ___ __________ _____.
__________ ________ ____ ____ __________ ___ ___ _____ ___.
_________ ____ ______ ____ ______ ______ ________ ________.
__________ __________ _______ ___ ___ _____.
_______ _____ ______ ________ _____ ________ _______ __________ _________ _____ ____ ___.
_____ ______ _______ __________ __________ ____ _____ ___ _____ ___ ___.
____ _______ ________ ____ ______ ________ _________ ______.
_______ ________ _______ ___ _____ ____.
______ ____ ____ ________ ______ _______ ________ _____.
________ ___ _______ ______ _____ _____ ______ _____ _______ ____ _____ __________.
_________ ________ ______ __________ ________ ___ _______ _______ ______ ________ _______.
____ _____ ________ _________ ________ ______ ______ ______ _____ _____.
_________ _____ _______.
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The given set is: \[ S = \left\{ \frac{1}{n-1} : n \geq 2 \right\} \] Let's first express this set for values of \( n \geq 2 \): - For \( n = 2 \), \( \frac{1}{2-1} = 1 \) - For ____ ____ ______ ________ ___ _____ _______ ______ _____ _____.
_____ __________ ______ _______ ___ ___.
______ _______ __________ ____ ____ ________ _____ _______ ____.
_______ _______ ________ ____ _____ ____ ______.
_________ ________ ___ __________ ____ ___ ______ ___ __________ ________ ___.
______ ___ ______ ______ _________ ________ ________ _______.
_____ ____ _________ ________ ____.
_______ _____ _______ ______ _____ ____ ___ __________ _____.
__________ ________ ____ ____ __________ ___ ___ _____ ___.
_________ ____ ______ ____ ______ ______ ________ ________.
__________ __________ _______ ___ ___ _____.
_______ _____ ______ ________ _____ ________ _______ __________ _________ _____ ____ ___.
_____ ______ _______ __________ __________ ____ _____ ___ _____ ___ ___.
____ _______ ________ ____ ______ ________ _________ ______.
_______ ________ _______ ___ _____ ____.
______ ____ ____ ________ ______ _______ ________ _____.
________ ___ _______ ______ _____ _____ ______ _____ _______ ____ _____ __________.
_________ ________ ______ __________ ________ ___ _______ _______ ______ ________ _______.
____ _____ ________ _________ ________ ______ ______ ______ _____ _____.
_________ _____ _______.
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