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Let f (x) =[x] and g (x) =0 when x is an...

Let `f (x) =[x] and g (x) =0` when x is an integer and `g (x) =x ^(2)` when x is not an integer ([] is ghe greatest integer function) then:

A

`lim _(xto1) g(x)` exists, but g (x) is not continous at `x=1`

B

`lim _(xto1) f (x)` does not exist

C

g(g(x)) is continous for all x

D

d(g(x)) is continous for all x

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A, B
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