13. Advanced Topics or Review

Proof Synthesis — Quiz

Test your understanding of proof synthesis with 5 practice questions.

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Practice Questions

Question 1

What must be shown to prove that a sequence $a_n$ converges to $L$?

Question 2

In a proof by contradiction, what is assumed at the start?

Question 3

What condition must be proved to show that $f$ is continuous at $c$?

Question 4

Which theorem says that every bounded monotone sequence in $\mathbb R$ converges?

Question 5

What does it mean for a set $E\subset\mathbb R$ to be sequentially closed?