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Mathematics
Problem
Evaluate
lim
n
→
∞
∑
i
=
1
n
3
n
∣
3
i
n
−
1
∣
\displaystyle \lim_{n\to\infty}\sum_{i=1}^{n}\frac{3}{n}\,\Bigl|\frac{3i}{n}-1\Bigr|
n
→
∞
lim
i
=
1
∑
n
n
3
n
3
i
−
1
. a)
7
2
\dfrac{7}{2}
2
7
b)
3
2
\dfrac{3}{2}
2
3
c)
5
2
\dfrac{5}{2}
2
5
d) 2
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