Let f(x) = |x - 1|([x] - [-x]), then whi...

Let `f(x) = |x - 1|([x] - [-x])`, then which of the following statement(s) is/are correct. (where [.] denotes greatest integer function.)

A

f(x) is continuous at x = 1

B

f(x) is derivable at x = 1

C

f(X) is non-derivable at x = 1

D

f(x) is discontinuous at x = 1

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The correct Answer is:

A, C

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