Q22 of 64 Page 10

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If f(x) = |3 – x| + (3 + x), where (x) denotes the least integer greater than or equal to x, then f(x) is


Given that f(x) = |3 – x| + (3 + x), where (x) denotes the least integer greater than or equal to x.




Checking continuity at x =3,


Here, LHL at x = 3



RHL at x = 3



∵ LHL ≠ RHL


∴ f(x) is neither continuous nor differentiable at x = 3.

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