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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

`underset(x rarr 1)(lim) g(x)` exists, but g(x) is not continuous at x = 1

B

`underset(x rarr 1)(lim) f(x)` does not exist and f(x) is not continuous at x = 1

C

gof is continuous for all x.

D

fog is continuous for all x.

Text Solution

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The correct Answer is:
A, B, C
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