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KVPY 2020-21 SB SX Exam Previous Papers
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© examsnet.com
Question : 1
Total: 120
PART-I : MATHEMATICS
Consider the following statements:
1.
lim
n
→
∞
2
n
+
(
−
2
)
n
2
n
does not exist
II.
lim
n
→
∞
3
n
+
(
−
3
)
n
4
n
does not exist
Then
I
is true and II is false
I is false and II is true
I and II are true
Neither I nor II is true
Validate
Solution:
lim
n
→
∞
2
n
+
(
−
2
)
n
2
n
=
lim
n
→
∞
1
+
(
−
1
)
n
=
D
N
E
lim
n
→
∞
3
n
+
(
−
3
)
n
4
n
=
lim
n
→
∞
(
3
4
)
n
+
(
−
3
4
)
n
=
0
+
0
=
0
© examsnet.com
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