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Let f(x)=[x] and g(x)={0, x in Z x^2, x...

Let `f(x)=[x] and g(x)={0, x in Z x^2, x in R -Z` then (where [.]denotest greatest integer funtion)

A

`lim_(xto1)(g(x)` exists but `g(x)` is not continuous at `x=1`

B

`lim_(xto1)f(x)` does not exist and `f(x)` is not continuous at `x=1`

C

`g(x)` is continuous at `x=0`

D

`g(x)` is discontinuous at `x=0`

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The correct Answer is:
A, B, C
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