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Mathematics
Mathematics
Problem
If
f
(
x
)
=
a
x
a
x
+
a
(
a
>
0
)
f(x) = \frac{a^x}{a^x+\sqrt{a}} \ (a > 0)
f
(
x
)
=
a
x
+
a
a
x
(
a
>
0
)
, evaluate
∑
r
=
1
2
n
−
1
2
f
(
r
2
n
)
\sum_{r=1}^{2n-1} 2f\left(\frac{r}{2n}\right)
∑
r
=
1
2
n
−
1
2
f
(
2
n
r
)
.
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