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If `underset(xrarra)(lim)f(x)=underset(xrarra)(lim)[f(x)]` ([.] denotes the greates integer function) and f(x) is non-constant continuous function, then

A

` lim _(x to 0) f (x)` is an integer

B

`lim _(xto0 ) f (x)` is non-integer

C

`f (x) ` has local maximum at `x=a`

D

`f (x)` has local minimum at `x=a`

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A, D
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