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Limits and Derivatives
- Online Test
Limits and Derivatives
TEST : 3
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q1.
L
t
n
→
∞
[
1
1
−
n
2
+
2
1
−
n
2
+
3
1
−
n
2
+
.
.
.
n
1
−
n
2
]
is equal to
A.
-1/2
B.
2
C.
1/2
D.
0
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q2.
L
t
h
→
0
sin
2
(
x
+
h
)
−
sin
2
x
h
is equal to
A.
2 sin x
B.
sin x cos x
C.
sin 2x
D.
cos
2
x
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q3.
If a is a real number, then
L
t
x
→
a
|
x
−
a
|
x
−
a
A.
is equal to 0
B.
is equal to – 1
C.
does not exist
D.
is equal to 1
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q4.
If k be an integer, then
L
t
x
→
k
+
(
x
−
[
x
]
)
is equal to
A.
0
B.
-1
C.
1
D.
k
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q5.
L
t
x
→
a
−
|
x
−
a
|
x
−
a
is equal to
A.
0
B.
-1
C.
1
D.
a
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q6.
If k be an integer, then
L
t
x
→
k
−
(
x
−
[
x
]
)
is equal to
A.
k
B.
-1
C.
1
D.
0
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q7.
L
t
x
→
0
(
tan
x
−
x
x
)
sin
(
1
x
)
is equal to
A.
1
B.
-1
C.
a real number other than 0 and 1
D.
0
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q8.
L
t
x
→
3
x
2
+
10
√
−
19
√
x
−
3
is equal to
A.
0
B.
3
19
√
C.
1
D.
6
19
√
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q9.
L
t
x
→
0
+
x
√
16
+
x
√
√
−
4
A.
does not exist
B.
2
C.
is equal to 0
D.
is equal to 8
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Limits and Derivatives
# CBSE 11th Mathematics
Prepare / Learn
Q10.
The derivative of
sec
−
1
(
1
2
x
2
−
1
)
with respect to
1
−
x
2
−
−
−
−
−
√
a
t
x
=
1
2
is
A.
4
B.
-2
C.
2
D.
1
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
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