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4
2010 Calculus #4: Limit of Summation
2010 Calculus #4: Limit of Summation
Source:
July 15, 2012
calculus
limit
trigonometry
Problem Statement
Compute
lim
n
→
∞
∑
k
=
1
n
∣
cos
(
k
)
∣
n
\displaystyle\lim_{n\to\infty}\dfrac{\sum_{k=1}^n|\cos(k)|}{n}
n
→
∞
lim
n
∑
k
=
1
n
∣
cos
(
k
)
∣
.
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