$\text{ If }f(x)=\frac{{2}^{x}}{{2}^{x}+\sqrt{2}},x\in R\text{, then }\sum _{k=1}^{81}f\left(\frac{k}{82}\right)\text{ is equal to }$ (28 Jan, Shift I, Memory Based)

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\(\text{ If }f(x)=\frac{{2}^{x}}{{2}^{x}+\sqrt{2}},x\in R\text{, then }\sum _{k=1}^{81}f\left(\frac{k}{82}\right)\text{ …

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