1.

Let f (x) = {{:( x ^(2) - 3x + 2 "," , x lt 2 ), ( x ^(3) - 6x ^(2) + 9x + 2 "," , xge 2 ):}Then

Answer»

`LIM _( X to 2) f (x) ` does not exist
f is continuous at `x =2`
f is continuous but not differentiable at `x =2`
f is continuous and differentiable at `x =2`

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