Consider the function f(x) = [{:(x{x}+1"...

Consider the function `f(x) = [{:(x{x}+1",","if",0 le x lt 1),(2-{x}",","if",1 le x le 2):}`, where {x} denotes the fractional part function. Which one of the following statements is not correct ?

A

`underset(x rarr 1)(lim) f(x)` exists

B

`f(0) ne f(2)`

C

f(x) is continuous in [0, 2]

D

Rolle's theorem is not applicable to f(x) in [0, 2]

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The correct Answer is:

C

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