University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A30Y 2013-2014
You are expected to work on this assignment prior to your tutorial in the week of October
28th. You may ask questions about this assignment in that tutorial.
In your tutorial during November 4th you will be asked to write a quiz based on assign-
ment 6 and/or related material from the lectures and textbook readings.
TEXTBOOK: Single Variable Calculus, Early Transcendentals, 7e, J.Stewart
READ: Stewart: Sections: 2.5.
Notes: 2 LimitsAndContinuity
A. Homework problems from the lectures (+):
1. If f is deﬁned for all x < a, give the deﬁnition of lim f(x) = L.
x − 2 if x < 2
2. Let f(x) =
2x − 1 if x ≥ 2
a) Is f continuous at 1? At 2?
b) Is f continuous from the right at 2? at 3?
c) Is f continuous from the left at 2? at 3?
3. On which interval is g(x) = continuous?
1 − x2
16 − x
4. (a) Wh