8. Midterm 1 and Uniform Continuity

Midterm 1 — Quiz

Test your understanding of midterm 1 with 5 practice questions.

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Practice Questions

Question 1

Which statement correctly expresses the definition of a sequence $(a_n)$ converging to $L$?

Question 2

What is the supremum of the set $\{1 - \tfrac{1}{n} : n \in \mathbb{N}\}$?

Question 3

Which theorem says that a continuous function on a closed interval $[a,b]$ attains both a maximum and a minimum value?

Question 4

Which subset of $\mathbb{R}$ is connected?

Question 5

Which statement correctly defines uniform continuity of a function $f$ on a domain $D$?