JEE Math Practice Question
If $f(x)=\frac{2^x}{2^x+\sqrt{2}}, \mathrm{x} \in \mathbb{R}$, then $\sum\limits_{\mathrm{k}=1}^{81} f\left(\frac{\mathrm{k}}{82}\right)$ is equal to
- A.$82$
- B.$81 \sqrt{2}$
- C.$41$
- D.$\frac{81}{2}$
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