Q.

Let f(x)={x,0≤x<12x12≤x<1 ∀x∈[−72,72]. If L is number of point of discontinuity and M is the number of point on non-differentiability of the function f(x), then find the value of |L – M|. [Note: [y] and {y} denotes greatest integer function less than or equal to y and fractional part of y respectively.]

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answer is 7.

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Detailed Solution

L = Number of point of discontinuous = 7          M = Number of point non-differentiability = 14          Hence, L−M=7
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