Let f (x)=[{:((3x-x ^(2))/(2),,, x lt 2)...

Let `f (x)=[{:((3x-x ^(2))/(2),,, x lt 2),([x-1],,, 2 le x lt 3),( x ^(2) -8x+17,,, x ge3):}:` then which of the following hold(s) good ?

`lim _(xto2) f(x) =1`

`f (x)` is differentiable at `x=2`

`f (x)` is continous at `x=2`

`f (x)` is discontinous at `x =3`

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The correct Answer is:

A, C, D

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