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Determine the value of _ n _ k=1 ^ n (1+ 3k n )^ 2 3 n .
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Determine the value of
lim
n
→
∞
∑
k
=
1
n
(
1
+
3
k
n
)
2
3
n
.
\lim_{n\to\infty}\sum_{k=1}^{n}\left(1+\frac{3k}{n}\right)^{2}\frac{3}{n}.
n
→
∞
lim
k
=
1
∑
n
(
1
+
n
3
k
)
2
n
3
.
Related theory
Accumulation Concepts
Fundamental theorem of calculus
Definite integrals
Integrals
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