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

Question

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

Philoid · Accepted Answer

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.

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