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Let S be the set of point where the func...

Let S be the set of point where the function f (x) = |4 - |2 - x|| is non differentiable the `sum_(x in s) f (x)` =

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The correct Answer is:
4
Clearly, the points of discontinuity are at `x = -2 , x= 2 ` and x = 6
`therefore " " f (-2) + f(2) + f(6) = 0 + 4+ 0= 4`
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