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Which of the following statements is/are correct? (A) |x| is continuous every where in its domain. (B) |x| is differentiable every where in its do

Question

Which of the following statements is/are correct?
(A) |x| is continuous every where in its domain.
(B) |x| is differentiable every where in its domain.
(C) [x]is continuous at every integral point.
(D) [x] is discontinuous at every integral point.
Choose the correct answer from the the options given below:

(A), (C) Only

Solution

|x| is continuous every where in its domain.
[x] is discontinuous at every integral point.

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