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 ?

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

`f(0) ne f(2)`

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

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

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