A function \( f(x) \) is given by \( f(x)=\frac{5^{x}}{5^{x}+5} \), then the sum of the series \... VIDEO
A function \( f(x) \) is given by \( f(x)=\frac{5^{x}}{5^{x}+5} \), then the sum of the series \( f\left(\frac{1}{20}\right)+f\left(\frac{2}{20}\right)+f\left(\frac{3}{20}\right)+\ldots+f\left(\frac{39}{20}\right) \) is equal to
(a) \( \frac{19}{2} \)
(b) \( \frac{49}{2} \)
(c) \( \frac{39}{2} \)
(d) \( \frac{29}{2} \)
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