Summing a function

Algebra Level 3

Let

\(f (x) = \frac {2}{4^x + 2}\)

for all real numbers \(x\). Evaluate

\(f (\frac {1}{2001}) + f (\frac {2}{2001}) + f (\frac {3}{2001}) + ... +f (\frac {2000}{2001})\).

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