Limits & Continuity Math Worksheet 1.1 - Portland State University
ADVERTISEMENT
1
2
3
4
5
6
7Calculus Maximus
WS 1.1: Limits & Continuity
Name_________________________________________ Date________________________ Period______
Worksheet 1.1—Limits & Continuity
Short Answer: Show all work. Unless stated otherwise, no calculator permitted.
. Is it possible for this statement
1. Explain in your own words what is meant by the equation
lim
f x
4
x
2
? Explain. What graphical manifestation would
x ?
to be true and yet
f
2
5
f x have at
2
Sketch a possible graph of
f x .
. What graphical manifestation
2. Explain what it means to say that
lim
f x
3
and
lim
f x
6
x
1
x
1
x ? Sketch a possible graph of
would
f x have at
1
f x .
3. Explain the meaning of each of the following, then sketch a possible graph of a function exhibiting the
indicated behavior.
.
lim
g x
(a)
lim
f x
(b)
x
2
x
3
2
x
x
20
4. For
f x
( )
, algebraically determine the following:
2
x
16
(a)
f
4
(b)
lim
f x
(c)
lim
f x
(d)
lim
f x
x
4
x
4
x
4
(e)
lim
f x
(f)
lim
f x
(g)
lim
f x
(h)
lim
f x
x
4
x
1
x
1
x
0
Page 1 of 7
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education