Calculus BC - Chapter 1 Review (Limits)

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Calculus BC - Chapter 1 Review (Limits)



1.
Complete the table and use the result to estimate the limit.

x
f(x)
 
 
 
 
 
 
 
A.
–1.000000
B.
–0.500000
C.
–0.625000
D.
–0.375000
E.
–1.375000


2.
Let and . Find the limits:

(a)     (b)     (c)
A.
3 , 1 , –200
B.
–1 , 1 , 64
C.
–5 , 3 , –200
D.
3 , 1 , –8
E.
1 , 1 , –2744


3.
Find the limit:

A.
B.
C.
D.
Does not exist
E.


4.
Find the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point.

A.
588 ,
B.
196 ,
C.
196 ,
D.
Limit does not exist.
E.
–588 ,


5.
Find the limit:

A.
B.
C.
0
D.
–1
E.
1


6.
Determine the limit (if it exists):

A.
0
B.
1
C.
Does not exist.
D.
–2
E.
8


7.
Use the graph as shown to determine the following limits, and discuss the continuity of the function at .

(i)     (ii)     (iii)

A.
4 , 4, 4, Not continuous
B.
2 , 2 , 2 , Not continuous
C.
1 , 1 , 1 , Continuous
D.
2 , 2 , 2 , Continuous
E.
1 , 1 , 1 , Not continuous


8.
Find the x-values (if any) at which the function is not continuous. Which of the discontinuitites are removable?
A.
No points of discontinuity.
B.
(Not removable), (Removable)
C.
(Removable), (Not removable)
D.
No points of continuity.
E.
(Not removable), (Not removable)



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