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COMEDK Exam 2018 Solved Paper
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© examsiri.com
Question :
177 of 180
Marks:
+1
,
-0
lim
n
→
∞
‌
(
1
2
+
2
2
+
.
.
.
+
n
2
)
‌
n
√
n
(
n
+
1
)
(
n
+
10
)
(
n
+
100
)
=
3
‌
1
3
‌
2
3
∞
Validate
Solution:
We have,
lim
n
→
∞
‌
‌
(
1
2
+
2
2
+
.
.
.
+
n
2
)
‌
n
√
n
(
n
+
1
)
(
n
+
10
)
(
n
+
100
)
‌
=
lim
n
→
∞
‌
n
(
n
+
1
)
(
2
n
+
n
)
6
(
n
+
1
)
(
n
+
10
)
(
n
+
100
)
(
lim
n
→
∞
‌
n
√
n
)
‌
=
lim
n
→
∞
‌
2
n
2
+
n
6
(
n
+
10
)
(
n
+
100
)
. . . (i)
‌
=
lim
n
→
∞
‌
2
+
1
n
6
(
1
+
‌
10
n
)
(
1
+
‌
100
n
)
‌
=
‌
2
+
0
6
(
1
+
0
)
(
1
+
0
)
‌
=
‌
2
6
=
‌
1
3
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