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JEE MAIN 2025
28-01-2025 SHIFT-1
Question
If $f(x) = \frac{{{2^x}}}{{{2^x} + \sqrt 2 }},{\rm{x}} \in $, then $\sum\limits_{{\rm{k}} = 1}^{81} f \left( {\frac{{\rm{k}}}{{82}}} \right)$ is equal to
Select the correct option:
A
82
B
$\frac{{81}}{2}$
C
$81\sqrt 2 $
D
41
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Easy
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