Calculus Worksheets

Calculus Worksheets
  • Page 1
 1.  
Evaluate limx3- x.
a.
1
b.
c.
undefined


Answer: ()


Correct answer : (4)
 2.  
Evaluate limx2 x2 - 4x - 2.
a.
b.
2
c.
4


Answer: ()


Correct answer : (4)
 3.  
Find the value of limx05x - 3x2x.
a.
-1
b.
6
c.
3
d.
5


Answer: (d)


Correct answer : (4)
 4.  
What is the value of limx8 8(x - 8)x2 - 9x + 8?
a.
- 8
b.
87
c.
8 9


Answer: (b)


Correct answer : (2)
 5.  
Find the value of limx3 x - 3x2 - 6x + 9.
a.
- 1 3
b.
does not exist
c.
- 1


Answer: (c)


Correct answer : (3)
 6.  
Evaluate limx5 3x - 15x - 5.
a.
2
b.
3
c.
4
d.
5


Answer: (b)


Correct answer : (2)
 7.  
Which of the following is true for the function f?
f(x) = 8x, if x < 8
      = 8, if x = 8
      = x2, if x > 8
a.
limx8 f(x) does not exist
b.
discontinuous at x = 8
c.
continuous at x = 8
d.
discontinuous at x = 64


Answer: (b)


Correct answer : (2)
 8.  
Evaluate limx5x + 76.
a.
1 9
b.
1 81
c.
81
d.
9


Answer: (d)


Correct answer : (4)
 9.  
If p≠ 1, then evaluate limxpx3 +  1x3 - 1.
a.
1(p³ - 1)
b.
(p³ - 1)(p³ + 1)
c.
(p³ + 1)(p³ - 1)
d.
(p³ + 1)


Answer: (c)


Correct answer : (3)
 10.  
Evaluate limx312(x)(8x - 1)2.
a.
19044
b.
1587
c.
6348
d.
529


Answer: (a)


Correct answer : (1)

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