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If fx frac x22x2 2 x R then sumk181 f frac k82 is equal to : (Mathematics) | DivineJEE

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Mathematics

Exam

Mathematics

If

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

then

\sum_{k=1}^{81} f \left( \frac{k}{82} \right)

is equal to

A

1.81\sqrt{2}

B

41

C

82

D

\frac{81}{2}

Select an option to instantly check whether it is correct or wrong.

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