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Functions question

2025 · 28 Jan · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Functions
2025 · 28 Jan · Shift 1 · Q27

Functions question

2025 · 28 Jan · Shift 1 · Q27

JEE MainMathematicsFunctionsMCQ+4 / −1

If

f(x)=\frac{2^x}{2^x+\sqrt{2}}, \mathrm{x} \in \mathbb{R}

, then

\sum_{\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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