Let f(x)={{:(x^(3)-3x+2", "x...

Let `f(x)={{:(x^(3)-3x+2", "xlt2),(x^(3)-6x^(2)+9x+2", " x ge 2):}` Then

A

`lim_(x to 2)f(x)` does not exist

B

f is not continuous at x = 2

C

f is continuous but not differentiable at x = 2

D

f is contunuous and differentiable at x = 2

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