Video of lecture.
Handwritten notes from the lecture.
Waiting room video:Marcus du Sautoy on Gödel's incompleteness of arithmetic

Introduced left-hand and right-hand limits. Stated a proposition which relates left-hand limits and right-hand limits to the usual notion of a limit at a point x=a. Gave some examples to illustrate these notions/relationships.

Gave some examples of "limits at infinity" and related them to asymptotes. Then introduced the most important definition of this semester.

Finished with a limit involving trigonometric functions.

See Section 2.2 of Stewart for more on left-hand and right-hand limits. See Section 2.6 of Stewart for more on limits at infinity and asymptotes. See Section 3.3 of Stewart for more on limits of trigonometric functions.