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2016 ASDAN Math Tournament
12
2016 Team #12
2016 Team #12
Source:
August 17, 2022
2016
team test
Problem Statement
Let
f
(
x
)
=
201
6
x
201
6
x
+
2016
.
f(x)=\frac{2016^x}{2016^x+\sqrt{2016}}.
f
(
x
)
=
201
6
x
+
2016
201
6
x
.
Evaluate
∑
k
=
0
2016
f
(
k
2016
)
.
\sum_{k=0}^{2016}f\left(\frac{k}{2016}\right).
k
=
0
∑
2016
f
(
2016
k
)
.
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