wei (jw35975) HW1 milburn (54685)
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001
contrary to the assertion.
B. TRUE: we know that
(x + y )2 = |x + y | ,
10.0
Q1 Book
Problems
Q1 Info
Absolute
Practice
1.5
1.6
2.2
2.3
Q1 is Thursday Sept 4; it covers removeable discontinuities.
These are 'think about this' NOT "must do"
Sketch the following functions. You should avoid plotting points.
a) y = |x + 1|
d) y =
x
x
14U Horizontal and Vertical Asymptotes
Compute the following limits.
1+
1) lim+
x0
2) lim
x4
1 1
x 4
1
1
x
1
x
1
3) Find all vertical asymptotes of
x3 x
y= 2
x 1
4) Find all horizontal asymptotes of
x2 x
y= 2
3x 1
5) Find all horizontal asymptotes of
y=
x
Hw2
Book Work: 2.6 Page 140 3, 15, 17, 19, 21, 23, 29, 41, 43,
Q2 Stuff
Q2 Info
Q2 is Thursday September 11; it covers asymptotes and "asymptotic to"
Q2 Practice
Problems
1) Find all asymptotes (use charts to compute limits):
a) f (x) = x2 ln x
b)
ln x
x
One For You: Asymptotes
1) Use algebraic techniques to nd the limits:
a) lim
x0
1
1
x
1
1 x
b) lim
x0 1 + 1
x2
1
1
x+1
2) For the functions f below,
i) Find all vertical asymptotes.
ii) Find a g(x) to which f (x) is asymptotic.
iii) Compute the limit to s