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If $[x]$ denotes greatest integer function, and $f : R \to R$ be a function defined by $f (x) = [x - 1] + | x - 2 |$
Consider the statements,
Statement:I f(x) is discontinuous at $x = 2$
Statement:II f(x) is non-differentiable at $x = 2,$ then

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Statement I and II are true

statement I is false and statement II is false

Statement –I is true, Statement -II is false.

Statement-I is false, Statement-II is true.

answer is B.

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Detailed Solution

L $f^{1}$ (2)= $\infty$ (undefined)
f(x) is not differentiable at x=2
Also L.H.L $\neq$ f(2)

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