Let \( f: R \rightarrow R \) be a function defined \( f(x)=\frac{2 e^{2 x}}{e^{2 x}+e} \) Then \...

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Let \( f: R \rightarrow R \) be a function defined \( f(x)=\frac{2 e^{2 x}}{e^{2 x}+e} \) Then \( f\left(\frac{1}{100}\right)+f\left(\frac{2}{100}\right)+f\left(\frac{3}{100}\right)+\ldots . .+f\left(\frac{99}{100}\right) \) is equal to
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