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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

`lim_(xto1)f(x)` exists

B

`f(0)!=f(2)`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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