12th Grade Compact Sets Quizzes , Questions & Answers

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Not all sets are compact. In this quiz, you’ll explore the definition and learn what truly makes a set compact. Take this quiz to get clarity on compactness.

Questions: 15 | Attempts: 12 | Last updated: Jan 21, 2026

Sample Question 1
Which sequence property is equivalent to compactness in ℝ?

Every sequence diverges

Every sequence has a convergent subsequence

Every sequence is bounded

Every sequence is finite

Sample Question 2
Every continuous function on a compact set attains a maximum and minimum.

True

False

Sample Question 3
Which of these functions attains both max and min on [0,1]?

F(x)=1/x

F(x)=sin(x)

F(x)=1/(x−1)

F(x)=tan(x)

12th Grade Compact Sets Quizzes , Questions & Answers

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