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Byju's Answer
Standard XII
Mathematics
Definite Integral as Limit of Sum
limn →∞ [ 1/n...
Question
l
i
m
n
→
∞
[
1
n
+
1
+
1
n
+
2
+
⋯
1
n
+
n
]
is equal to
A
3 log 2
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B
log 2
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C
2 log 2
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D
None of these
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Solution
The correct option is
B
log 2
l
i
m
n
→
∞
[
1
n
+
1
+
1
n
+
2
+
⋯
1
n
+
n
]
=
l
i
m
n
→
∞
∑
n
r
=
1
1
n
+
r
=
l
i
m
n
→
∞
∑
n
r
=
1
1
n
.
1
1
+
r
n
=
∫
1
0
1
1
+
x
d
x
=
[
l
o
g
(
1
+
x
)
]
1
0
=
l
o
g
2.
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0
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