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QJEEM20Mada96: JEE Main 2020 Mathematics - Class 12 JEEM20Mada96 Solution: Let S be the set of points where the function, ƒ(x) =…

Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x ∈ R is not differentiable. Then ∑x∈Sf(f(x)) is equal to_____.

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JEE Main 2020 (Online) 7th January Morning Slot Mathematics - Limits, Continuity and Differentiability Question 168 English Explanation

f(x) is non-differentiable at x = 1, 3, 5

∴ S is {1, 3, 5}

∑x∈Sf(f(x))

= f(f(1)) + f(f(3)) + f(f (5))

= f(0) + f(2) + f(0)

= 1 + 1 + 1 = 3

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