JEE corner (mains + advanced) #1

Algebra Level 3

\[ f \left ( \frac 1 {2009} \right ) + f \left ( \frac 2 {2009} \right ) + f \left ( \frac 3 {2009} \right ) + \ldots + f \left ( \frac {2008} {2009} \right ) \]

If \(\large f(x) = \frac {e^{2x-1}}{1 + e^{2x-1}} \), then find the value of the above expression.

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