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Mathematics
Mathematics
Problem
Evaluate
lim
n
→
∞
∑
k
=
1
n
(
3
+
6
k
n
)
(
6
n
)
\displaystyle \lim_{n\to\infty}\sum_{k=1}^{n}\left(3+\dfrac{6k}{n}\right)\left(\dfrac{6}{n}\right)
n
→
∞
lim
k
=
1
∑
n
(
3
+
n
6
k
)
(
n
6
)
. a)
18
18
18
b)
54
54
54
c)
36
36
36
d)
21
21
21
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