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
`:.` f(-2) + f(2) + f(6) = 0 + 4 + 0 = 4

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