This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Solutions to Quiz 4B
www.math.uﬂ.edu/˜harringt
February 9, 2008
1. Suppose that g (x) is a continuous function on [1, 2]. Furthermore, we
know that g (1) < 0 and g (2) > 0. What does the Intermediate Value
Theorem tell us?
The Intermediate Value tells use that there exists a c (may not be
unique) in the interval of (1, 2) such that f (c) = 0.
NOTE: Since g (1) = 0 and g (2) = 0 then we know c ∈ (1, 2). If you
put [1, 2] that will be acceptable for this quiz.
2. Evaluate the following limit: limx→−4 lim x→−4 1
4 1
+x
=
4+x lim 1
1
+x
4 4+x . x+4
4x 4+x
x+4
lim
÷ (4 + x)
x→−4 4x
x+4 1
lim
x→−4 4x 4 + x
1
lim
x→−4 4x
1
−1
=
4(−4)
16
x→−4 =
=
=
= 3. Use the given graph of f to state the value of each quantity, if it exists.
(a) limx→1− f (x) = −1
(c) limx→3 f (x) = 0 (b) limx→1+ f (x) = 1
(d) f (1) = −3 1 ...
View
Full
Document
This note was uploaded on 07/10/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Math, Calculus, Geometry

Click to edit the document details