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Functions question

2020 · Shift 2 · Q34

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JEE Advanced
Mathematics
Functions
2020 · Shift 2 · Q34

Functions question

2020 · Shift 2 · Q34

JEE AdvancedMathematicsFunctionsNumerical+4 / −1

Let the function f : [0, 1]

\to

R be defined by

f(x) = {{{4^x}} \over {{4^x} + 2}}

Then the value of

f\left( {{1 \over {40}}} \right) + f\left( {{2 \over {40}}} \right) + f\left( {{3 \over {40}}} \right) + ... + f\left( {{{39} \over {40}}} \right) - f\left( {{1 \over 2}} \right)

is ..........

Numerical answer

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