JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

\phi(x)=\frac{1}{1+e^{-x}}

and

S=\phi(5)+\phi(4)+\phi(3)+\ldots .+

\phi(-3)+\phi(-4)+\phi(-5)

, then the value of

S

View answer and explanation

Correct option: A

5.5

Option A (5.5) is correct because the sum

S

simplifies to 5.5 by pairing terms using the property

\phi(x) + \phi(-x) = 1

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f\left( x \right) = x - \left[ x \right]

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