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The value of is equal to
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
The value of
lim
n
→
∞
1
n
∑
r
=
1
n
(
r
n
+
r
)
\lim_{n\to\infty}\frac{1}{n}\sum_{r=1}^{n}\left(\frac{r}{n+r}\right)
lim
n
→
∞
n
1
∑
r
=
1
n
(
n
+
r
r
)
is equal to (1)
1
−
log
2
1-\log2
1
−
lo
g
2
(2)
log
4
−
1
\log4-1
lo
g
4
−
1
(3)
log
2
\log2
lo
g
2
(4) None of these
Related theory
Accumulation Concepts
Fundamental theorem of calculus
Definite integrals
Integrals
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