MATA31
Week 3: Complete Lectures
Textbook: Salas, Hille> Etgen: CALCULUS, One Variable, 10e
LID/[ITS
Limiting behavior occurs in a variety of practical situations:
(a) An area of a disk is the limit of the Sum of areas of triangles
inscribed in the circle
Week 2: Limits and Continuity
- Denitions: limit, right-limit, left-limit
- Innite limits, vertical asymptote
- Limit Laws
- Substitution property
- Precise denition of limit /( ) denition of limt
1
Introduction
Some parts in the notes are left uncomplete
MAT A31 2014
Lecture Week 3
Textbook: Salas, Hille, Etgen: CALCULUS, One Variable, 10e
3.1 Limits at Inﬁnity
In Section 2.2 we investigated inﬁnite limits and vertical asymptotes. There we let x approach
a number and the result was that values y became ar