Continuity and DifferentiabilityHard

Question

If f(x)  
where [x] denotes the greatest integest less than or equal to x, then f(x) equals

Options

A.1
B.0
C.- 1
D.None of these

Solution

Since, f(x)
⇒     f(x)
        At x = 0
      RHL = 0 = 0
      and LHL
     
Since, RHL ≠ LHL
∴ Limit does not exist.

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