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f(x)=1/1+2^{1-2x} 2021 IMOC qualification problem, A0
f(x)=1/1+2^{1-2x} 2021 IMOC qualification problem, A0
Source:
December 30, 2021
function
Problem Statement
Consider the following function
f
(
x
)
=
1
1
+
2
1
−
2
x
f(x)=\frac{1}{1+2^{1-2x}}
f
(
x
)
=
1
+
2
1
−
2
x
1
. Compute the value of
f
(
1
10
)
+
f
(
2
10
)
+
.
.
.
+
f
(
9
10
)
.
f\left(\frac{1}{10}\right)+f\left(\frac{2}{10}\right)+...+f\left(\frac{9}{10}\right).
f
(
10
1
)
+
f
(
10
2
)
+
...
+
f
(
10
9
)
.
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