Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x R is not differentiable. Then Σ x S f(f(x)) is equal to _ _ _.

Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 7 Jan, Morning shift · Q33

JEE Main 20207 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x

\in

R is not differentiable. Then

\sum\limits_{x \in S} {f(f(x))}

is equal to_____.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2020 · 7 Jan, Morning shift · Q33

JEE Main 20207 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x

\in

R is not differentiable. Then

\sum\limits_{x \in S} {f(f(x))}

is equal to_____.

Your answerType your answer. Integers and decimals are accepted.