Limits & Continuity Math Worksheet 1.1 - Portland State University Page 5
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7Calculus Maximus
WS 1.1: Limits & Continuity
14. (Calculator permitted) Fill in the table for the following function, then use the numerical evidence (
to 3 decimal places) to evaluate the indicated limit. (Be sure you’re in radian mode)
sin 3x
f x
x
x
0.1
0.01
0.001
0
0.001
0.01
0.1
f x
Based on the numeric evidence above,
lim
f x
x
0
Multiple Choice: Put the Capital Letter of the correct answer in the blank to the left of the number. Be
sure to show any work/analysis.
1
_____ 15.
lim 1
x
x
0
(C)
(E)
(A) 1
(B) 2
(D) 0
3
x x
,
1
f x
_____ 16. Find
lim
f x
if
1,
x
1
x
1
3
(A) 2
(B) 1
(C)
(D) 0
(E) DNE
2
_____ 17. For which of the following does
lim
f x
exist?
x
4
I.
II.
III.
graph of
f x
graph of
f x
graph of
f x
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only
ln ,
x
0
x
2
_____ 18. If
f x
, then
lim
f x
is
2
x
ln 2, 2
x
4
x
2
(A) ln 2
(B) ln8
(C) ln16
(D) 4
(E) nonexistent
Page 5 of 7
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